-4(t-1)-30=3(t+3)

Solution for -4(t-1)-30=3(t+3) equation:

Simplifying
-4(t + -1) + -30 = 3(t + 3)

Reorder the terms:
-4(-1 + t) + -30 = 3(t + 3)
(-1 * -4 + t * -4) + -30 = 3(t + 3)
(4 + -4t) + -30 = 3(t + 3)

Reorder the terms:
4 + -30 + -4t = 3(t + 3)

Combine like terms: 4 + -30 = -26
-26 + -4t = 3(t + 3)

Reorder the terms:
-26 + -4t = 3(3 + t)
-26 + -4t = (3 * 3 + t * 3)
-26 + -4t = (9 + 3t)

Solving
-26 + -4t = 9 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
-26 + -4t + -3t = 9 + 3t + -3t

Combine like terms: -4t + -3t = -7t
-26 + -7t = 9 + 3t + -3t

Combine like terms: 3t + -3t = 0
-26 + -7t = 9 + 0
-26 + -7t = 9

Add '26' to each side of the equation.
-26 + 26 + -7t = 9 + 26

Combine like terms: -26 + 26 = 0
0 + -7t = 9 + 26
-7t = 9 + 26

Combine like terms: 9 + 26 = 35
-7t = 35

Divide each side by '-7'.
t = -5

Simplifying
t = -5