# Simplify 6/5k+8/5-2k+2/5+2/5k-6

65k+85-2k+25+25k-6
Combine fractions.
Combine fractions with similar denominators.
65k-2k+25k-6+8+25
Simplify the expression.
65k-2k+25k-6+105
Divide 10 by 5.
65k-2k+25k-6+2
65k-2k+25k-6+2
65k-2k+25k-6+2
Simplify each term.
Combine 65 and k.
6k5-2k+25k-6+2
Combine 25 and k.
6k5-2k+2k5-6+2
6k5-2k+2k5-6+2
Simplify terms.
Combine fractions with similar denominators.
-2k-6+2+6k+2k5
-2k-6+2+8k5
-2k-6+2+8k5
To write -2k as a fraction with a common denominator, multiply by 55.
-2k⋅55+8k5-6+2
Combine -2k and 55.
-2k⋅55+8k5-6+2
Combine the numerators over the common denominator.
-2k⋅5+8k5-6+2
Find the common denominator.
Write -6 as a fraction with denominator 1.
-2k⋅5+8k5+-61+2
Multiply -61 by 55.
-2k⋅5+8k5+-61⋅55+2
Multiply -61 and 55.
-2k⋅5+8k5+-6⋅55+2
Write 2 as a fraction with denominator 1.
-2k⋅5+8k5+-6⋅55+21
Multiply 21 by 55.
-2k⋅5+8k5+-6⋅55+21⋅55
Multiply 21 and 55.
-2k⋅5+8k5+-6⋅55+2⋅55
-2k⋅5+8k5+-6⋅55+2⋅55
Combine fractions with similar denominators.
-2k⋅5+8k-6⋅5+2⋅55
Simplify the expression.
Multiply -6 by 5.
-2k⋅5+8k-30+2⋅55
Multiply 2 by 5.
-2k⋅5+8k-30+105
-2k⋅5+8k-205
Multiply 5 by -2.
-10k+8k-205
-10k+8k-205
-2k-205
Factor 2 out of -2k-20.
Factor 2 out of -2k.
2(-k)-205
Factor 2 out of -20.
2(-k)+2(-10)5
Factor 2 out of 2(-k)+2(-10).
2(-k-10)5
2(-k-10)5
Factor -1 out of -k.
2(-(k)-10)5
Rewrite -10 as -1(10).
2(-(k)-1(10))5
Factor -1 out of -(k)-1(10).
2(-(k+10))5
Simplify the expression.
Rewrite -(k+10) as -1(k+10).
2(-1(k+10))5
Move the negative in front of the fraction.
-2(k+10)5
-2(k+10)5
Simplify 6/5k+8/5-2k+2/5+2/5k-6