8(t-9)+3(-8t-8)=-17(t+6)-5

Solution for 8(t-9)+3(-8t-8)=-17(t+6)-5 equation:

Simplifying
8(t + -9) + 3(-8t + -8) = -17(t + 6) + -5

Reorder the terms:
8(-9 + t) + 3(-8t + -8) = -17(t + 6) + -5
(-9 * 8 + t * 8) + 3(-8t + -8) = -17(t + 6) + -5
(-72 + 8t) + 3(-8t + -8) = -17(t + 6) + -5

Reorder the terms:
-72 + 8t + 3(-8 + -8t) = -17(t + 6) + -5
-72 + 8t + (-8 * 3 + -8t * 3) = -17(t + 6) + -5
-72 + 8t + (-24 + -24t) = -17(t + 6) + -5

Reorder the terms:
-72 + -24 + 8t + -24t = -17(t + 6) + -5

Combine like terms: -72 + -24 = -96
-96 + 8t + -24t = -17(t + 6) + -5

Combine like terms: 8t + -24t = -16t
-96 + -16t = -17(t + 6) + -5

Reorder the terms:
-96 + -16t = -17(6 + t) + -5
-96 + -16t = (6 * -17 + t * -17) + -5
-96 + -16t = (-102 + -17t) + -5

Reorder the terms:
-96 + -16t = -102 + -5 + -17t

Combine like terms: -102 + -5 = -107
-96 + -16t = -107 + -17t

Solving
-96 + -16t = -107 + -17t

Solving for variable 't'.

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

Add '17t' to each side of the equation.
-96 + -16t + 17t = -107 + -17t + 17t

Combine like terms: -16t + 17t = 1t
-96 + 1t = -107 + -17t + 17t

Combine like terms: -17t + 17t = 0
-96 + 1t = -107 + 0
-96 + 1t = -107

Add '96' to each side of the equation.
-96 + 96 + 1t = -107 + 96

Combine like terms: -96 + 96 = 0
0 + 1t = -107 + 96
1t = -107 + 96

Combine like terms: -107 + 96 = -11
1t = -11

Divide each side by '1'.
t = -11

Simplifying
t = -11