-4(t-1)+33=3(t+3)

Solution for -4(t-1)+33=3(t+3) equation:

Simplifying
-4(t + -1) + 33 = 3(t + 3)

Reorder the terms:
-4(-1 + t) + 33 = 3(t + 3)
(-1 * -4 + t * -4) + 33 = 3(t + 3)
(4 + -4t) + 33 = 3(t + 3)

Reorder the terms:
4 + 33 + -4t = 3(t + 3)

Combine like terms: 4 + 33 = 37
37 + -4t = 3(t + 3)

Reorder the terms:
37 + -4t = 3(3 + t)
37 + -4t = (3 * 3 + t * 3)
37 + -4t = (9 + 3t)

Solving
37 + -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.
37 + -4t + -3t = 9 + 3t + -3t

Combine like terms: -4t + -3t = -7t
37 + -7t = 9 + 3t + -3t

Combine like terms: 3t + -3t = 0
37 + -7t = 9 + 0
37 + -7t = 9

Add '-37' to each side of the equation.
37 + -37 + -7t = 9 + -37

Combine like terms: 37 + -37 = 0
0 + -7t = 9 + -37
-7t = 9 + -37

Combine like terms: 9 + -37 = -28
-7t = -28

Divide each side by '-7'.
t = 4

Simplifying
t = 4