9t+5(t+3)=-(t+13)+t

Solution for 9t+5(t+3)=-(t+13)+t equation:

Simplifying
9t + 5(t + 3) = -1(t + 13) + t

Reorder the terms:
9t + 5(3 + t) = -1(t + 13) + t
9t + (3 * 5 + t * 5) = -1(t + 13) + t
9t + (15 + 5t) = -1(t + 13) + t

Reorder the terms:
15 + 9t + 5t = -1(t + 13) + t

Combine like terms: 9t + 5t = 14t
15 + 14t = -1(t + 13) + t

Reorder the terms:
15 + 14t = -1(13 + t) + t
15 + 14t = (13 * -1 + t * -1) + t
15 + 14t = (-13 + -1t) + t

Combine like terms: -1t + t = 0
15 + 14t = -13 + 0
15 + 14t = -13

Solving
15 + 14t = -13

Solving for variable 't'.

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

Add '-15' to each side of the equation.
15 + -15 + 14t = -13 + -15

Combine like terms: 15 + -15 = 0
0 + 14t = -13 + -15
14t = -13 + -15

Combine like terms: -13 + -15 = -28
14t = -28

Divide each side by '14'.
t = -2

Simplifying
t = -2