6(4-t)+9=-9(t-4)-6

Solution for 6(4-t)+9=-9(t-4)-6 equation:

Simplifying
6(4 + -1t) + 9 = -9(t + -4) + -6
(4 * 6 + -1t * 6) + 9 = -9(t + -4) + -6
(24 + -6t) + 9 = -9(t + -4) + -6

Reorder the terms:
24 + 9 + -6t = -9(t + -4) + -6

Combine like terms: 24 + 9 = 33
33 + -6t = -9(t + -4) + -6

Reorder the terms:
33 + -6t = -9(-4 + t) + -6
33 + -6t = (-4 * -9 + t * -9) + -6
33 + -6t = (36 + -9t) + -6

Reorder the terms:
33 + -6t = 36 + -6 + -9t

Combine like terms: 36 + -6 = 30
33 + -6t = 30 + -9t

Solving
33 + -6t = 30 + -9t

Solving for variable 't'.

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

Add '9t' to each side of the equation.
33 + -6t + 9t = 30 + -9t + 9t

Combine like terms: -6t + 9t = 3t
33 + 3t = 30 + -9t + 9t

Combine like terms: -9t + 9t = 0
33 + 3t = 30 + 0
33 + 3t = 30

Add '-33' to each side of the equation.
33 + -33 + 3t = 30 + -33

Combine like terms: 33 + -33 = 0
0 + 3t = 30 + -33
3t = 30 + -33

Combine like terms: 30 + -33 = -3
3t = -3

Divide each side by '3'.
t = -1

Simplifying
t = -1