-4(t-1)-9=-3(t+2)

Solution for -4(t-1)-9=-3(t+2) equation:

Simplifying
-4(t + -1) + -9 = -3(t + 2)

Reorder the terms:
-4(-1 + t) + -9 = -3(t + 2)
(-1 * -4 + t * -4) + -9 = -3(t + 2)
(4 + -4t) + -9 = -3(t + 2)

Reorder the terms:
4 + -9 + -4t = -3(t + 2)

Combine like terms: 4 + -9 = -5
-5 + -4t = -3(t + 2)

Reorder the terms:
-5 + -4t = -3(2 + t)
-5 + -4t = (2 * -3 + t * -3)
-5 + -4t = (-6 + -3t)

Solving
-5 + -4t = -6 + -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.
-5 + -4t + 3t = -6 + -3t + 3t

Combine like terms: -4t + 3t = -1t
-5 + -1t = -6 + -3t + 3t

Combine like terms: -3t + 3t = 0
-5 + -1t = -6 + 0
-5 + -1t = -6

Add '5' to each side of the equation.
-5 + 5 + -1t = -6 + 5

Combine like terms: -5 + 5 = 0
0 + -1t = -6 + 5
-1t = -6 + 5

Combine like terms: -6 + 5 = -1
-1t = -1

Divide each side by '-1'.
t = 1

Simplifying
t = 1