-3(t-1)=-2(t-8)

Solution for -3(t-1)=-2(t-8) equation:

Simplifying
-3(t + -1) = -2(t + -8)

Reorder the terms:
-3(-1 + t) = -2(t + -8)
(-1 * -3 + t * -3) = -2(t + -8)
(3 + -3t) = -2(t + -8)

Reorder the terms:
3 + -3t = -2(-8 + t)
3 + -3t = (-8 * -2 + t * -2)
3 + -3t = (16 + -2t)

Solving
3 + -3t = 16 + -2t

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '2t' to each side of the equation.
3 + -3t + 2t = 16 + -2t + 2t

Combine like terms: -3t + 2t = -1t
3 + -1t = 16 + -2t + 2t

Combine like terms: -2t + 2t = 0
3 + -1t = 16 + 0
3 + -1t = 16

Add '-3' to each side of the equation.
3 + -3 + -1t = 16 + -3

Combine like terms: 3 + -3 = 0
0 + -1t = 16 + -3
-1t = 16 + -3

Combine like terms: 16 + -3 = 13
-1t = 13

Divide each side by '-1'.
t = -13

Simplifying
t = -13