-9(t+5)+2(6t+8)=2(t-5)-1

Solution for -9(t+5)+2(6t+8)=2(t-5)-1 equation:

Simplifying
-9(t + 5) + 2(6t + 8) = 2(t + -5) + -1

Reorder the terms:
-9(5 + t) + 2(6t + 8) = 2(t + -5) + -1
(5 * -9 + t * -9) + 2(6t + 8) = 2(t + -5) + -1
(-45 + -9t) + 2(6t + 8) = 2(t + -5) + -1

Reorder the terms:
-45 + -9t + 2(8 + 6t) = 2(t + -5) + -1
-45 + -9t + (8 * 2 + 6t * 2) = 2(t + -5) + -1
-45 + -9t + (16 + 12t) = 2(t + -5) + -1

Reorder the terms:
-45 + 16 + -9t + 12t = 2(t + -5) + -1

Combine like terms: -45 + 16 = -29
-29 + -9t + 12t = 2(t + -5) + -1

Combine like terms: -9t + 12t = 3t
-29 + 3t = 2(t + -5) + -1

Reorder the terms:
-29 + 3t = 2(-5 + t) + -1
-29 + 3t = (-5 * 2 + t * 2) + -1
-29 + 3t = (-10 + 2t) + -1

Reorder the terms:
-29 + 3t = -10 + -1 + 2t

Combine like terms: -10 + -1 = -11
-29 + 3t = -11 + 2t

Solving
-29 + 3t = -11 + 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.
-29 + 3t + -2t = -11 + 2t + -2t

Combine like terms: 3t + -2t = 1t
-29 + 1t = -11 + 2t + -2t

Combine like terms: 2t + -2t = 0
-29 + 1t = -11 + 0
-29 + 1t = -11

Add '29' to each side of the equation.
-29 + 29 + 1t = -11 + 29

Combine like terms: -29 + 29 = 0
0 + 1t = -11 + 29
1t = -11 + 29

Combine like terms: -11 + 29 = 18
1t = 18

Divide each side by '1'.
t = 18

Simplifying
t = 18