3(t-9)+4(t+8)=-2(t+5)-2

Solution for 3(t-9)+4(t+8)=-2(t+5)-2 equation:

Simplifying
3(t + -9) + 4(t + 8) = -2(t + 5) + -2

Reorder the terms:
3(-9 + t) + 4(t + 8) = -2(t + 5) + -2
(-9 * 3 + t * 3) + 4(t + 8) = -2(t + 5) + -2
(-27 + 3t) + 4(t + 8) = -2(t + 5) + -2

Reorder the terms:
-27 + 3t + 4(8 + t) = -2(t + 5) + -2
-27 + 3t + (8 * 4 + t * 4) = -2(t + 5) + -2
-27 + 3t + (32 + 4t) = -2(t + 5) + -2

Reorder the terms:
-27 + 32 + 3t + 4t = -2(t + 5) + -2

Combine like terms: -27 + 32 = 5
5 + 3t + 4t = -2(t + 5) + -2

Combine like terms: 3t + 4t = 7t
5 + 7t = -2(t + 5) + -2

Reorder the terms:
5 + 7t = -2(5 + t) + -2
5 + 7t = (5 * -2 + t * -2) + -2
5 + 7t = (-10 + -2t) + -2

Reorder the terms:
5 + 7t = -10 + -2 + -2t

Combine like terms: -10 + -2 = -12
5 + 7t = -12 + -2t

Solving
5 + 7t = -12 + -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.
5 + 7t + 2t = -12 + -2t + 2t

Combine like terms: 7t + 2t = 9t
5 + 9t = -12 + -2t + 2t

Combine like terms: -2t + 2t = 0
5 + 9t = -12 + 0
5 + 9t = -12

Add '-5' to each side of the equation.
5 + -5 + 9t = -12 + -5

Combine like terms: 5 + -5 = 0
0 + 9t = -12 + -5
9t = -12 + -5

Combine like terms: -12 + -5 = -17
9t = -17

Divide each side by '9'.
t = -1.888888889

Simplifying
t = -1.888888889