(7t-2)-(-3t+1)=-3(1-3t)

Simplify each term.

Apply the distributive property.

7t-2-(-3t)-1⋅1=-3(1-3t)

Multiply -3 by -1.

7t-2+3t-1⋅1=-3(1-3t)

Multiply -1 by 1.

7t-2+3t-1=-3(1-3t)

7t-2+3t-1=-3(1-3t)

Simplify by adding terms.

Add 7t and 3t.

10t-2-1=-3(1-3t)

Subtract 1 from -2.

10t-3=-3(1-3t)

10t-3=-3(1-3t)

10t-3=-3(1-3t)

Apply the distributive property.

10t-3=-3⋅1-3(-3t)

Multiply.

Multiply -3 by 1.

10t-3=-3-3(-3t)

Multiply -3 by -3.

10t-3=-3+9t

10t-3=-3+9t

10t-3=-3+9t

Subtract 9t from both sides of the equation.

10t-3-9t=-3

Subtract 9t from 10t.

t-3=-3

t-3=-3

Add 3 to both sides of the equation.

t=-3+3

Add -3 and 3.

t=0

t=0

Solve for t (7t-2)-(-3t+1)=-3(1-3t)