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

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

Simplifying
9(5 + t) + -3(t + 3) = 0
(5 * 9 + t * 9) + -3(t + 3) = 0
(45 + 9t) + -3(t + 3) = 0

Reorder the terms:
45 + 9t + -3(3 + t) = 0
45 + 9t + (3 * -3 + t * -3) = 0
45 + 9t + (-9 + -3t) = 0

Reorder the terms:
45 + -9 + 9t + -3t = 0

Combine like terms: 45 + -9 = 36
36 + 9t + -3t = 0

Combine like terms: 9t + -3t = 6t
36 + 6t = 0

Solving
36 + 6t = 0

Solving for variable 't'.

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

Add '-36' to each side of the equation.
36 + -36 + 6t = 0 + -36

Combine like terms: 36 + -36 = 0
0 + 6t = 0 + -36
6t = 0 + -36

Combine like terms: 0 + -36 = -36
6t = -36

Divide each side by '6'.
t = -6

Simplifying
t = -6