9-(t+6)=2(3t-9)

Solution for 9-(t+6)=2(3t-9) equation:

Simplifying
9 + -1(t + 6) = 2(3t + -9)

Reorder the terms:
9 + -1(6 + t) = 2(3t + -9)
9 + (6 * -1 + t * -1) = 2(3t + -9)
9 + (-6 + -1t) = 2(3t + -9)

Combine like terms: 9 + -6 = 3
3 + -1t = 2(3t + -9)

Reorder the terms:
3 + -1t = 2(-9 + 3t)
3 + -1t = (-9 * 2 + 3t * 2)
3 + -1t = (-18 + 6t)

Solving
3 + -1t = -18 + 6t

Solving for variable 't'.

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

Add '-6t' to each side of the equation.
3 + -1t + -6t = -18 + 6t + -6t

Combine like terms: -1t + -6t = -7t
3 + -7t = -18 + 6t + -6t

Combine like terms: 6t + -6t = 0
3 + -7t = -18 + 0
3 + -7t = -18

Add '-3' to each side of the equation.
3 + -3 + -7t = -18 + -3

Combine like terms: 3 + -3 = 0
0 + -7t = -18 + -3
-7t = -18 + -3

Combine like terms: -18 + -3 = -21
-7t = -21

Divide each side by '-7'.
t = 3

Simplifying
t = 3