3(t-7)=t-6

Solution for 3(t-7)=t-6 equation:

Simplifying
3(t + -7) = t + -6

Reorder the terms:
3(-7 + t) = t + -6
(-7 * 3 + t * 3) = t + -6
(-21 + 3t) = t + -6

Reorder the terms:
-21 + 3t = -6 + t

Solving
-21 + 3t = -6 + t

Solving for variable 't'.

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

Add '-1t' to each side of the equation.
-21 + 3t + -1t = -6 + t + -1t

Combine like terms: 3t + -1t = 2t
-21 + 2t = -6 + t + -1t

Combine like terms: t + -1t = 0
-21 + 2t = -6 + 0
-21 + 2t = -6

Add '21' to each side of the equation.
-21 + 21 + 2t = -6 + 21

Combine like terms: -21 + 21 = 0
0 + 2t = -6 + 21
2t = -6 + 21

Combine like terms: -6 + 21 = 15
2t = 15

Divide each side by '2'.
t = 7.5

Simplifying
t = 7.5