-6(-4t-9)+4=-2(-9t-8)

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Solution for -6(-4t-9)+4=-2(-9t-8) equation:


Simplifying
-6(-4t + -9) + 4 = -2(-9t + -8)

Reorder the terms:
-6(-9 + -4t) + 4 = -2(-9t + -8)
(-9 * -6 + -4t * -6) + 4 = -2(-9t + -8)
(54 + 24t) + 4 = -2(-9t + -8)

Reorder the terms:
54 + 4 + 24t = -2(-9t + -8)

Combine like terms: 54 + 4 = 58
58 + 24t = -2(-9t + -8)

Reorder the terms:
58 + 24t = -2(-8 + -9t)
58 + 24t = (-8 * -2 + -9t * -2)
58 + 24t = (16 + 18t)

Solving
58 + 24t = 16 + 18t

Solving for variable 't'.

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

Add '-18t' to each side of the equation.
58 + 24t + -18t = 16 + 18t + -18t

Combine like terms: 24t + -18t = 6t
58 + 6t = 16 + 18t + -18t

Combine like terms: 18t + -18t = 0
58 + 6t = 16 + 0
58 + 6t = 16

Add '-58' to each side of the equation.
58 + -58 + 6t = 16 + -58

Combine like terms: 58 + -58 = 0
0 + 6t = 16 + -58
6t = 16 + -58

Combine like terms: 16 + -58 = -42
6t = -42

Divide each side by '6'.
t = -7

Simplifying
t = -7

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