# Solve for t 10=6/7t+8 10=67t+8
Rewrite the equation as 67t+8=10.
67t+8=10
Combine 67 and t.
6t7+8=10
Move all terms not containing t to the right side of the equation.
Subtract 8 from both sides of the equation.
6t7=10-8
Subtract 8 from 10.
6t7=2
6t7=2
Multiply both sides of the equation by 76.
76⋅6t7=76⋅2
Simplify both sides of the equation.
Simplify 76⋅6t7.
Cancel the common factor of 7.
Cancel the common factor.
76⋅6t7=76⋅2
Rewrite the expression.
16⋅(6t)=76⋅2
16⋅(6t)=76⋅2
Cancel the common factor of 6.
Factor 6 out of 6t.
16⋅(6(t))=76⋅2
Cancel the common factor.
16⋅(6t)=76⋅2
Rewrite the expression.
t=76⋅2
t=76⋅2
t=76⋅2
Cancel the common factor of 2.
Factor 2 out of 6.
t=72(3)⋅2
Cancel the common factor.
t=72⋅3⋅2
Rewrite the expression.
t=73
t=73
t=73
The result can be shown in multiple forms.
Exact Form:
t=73
Decimal Form:
t=2.3‾
Mixed Number Form:
t=213
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