-4(t-4)+9t=3t-8

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Solution for -4(t-4)+9t=3t-8 equation:


Simplifying
-4(t + -4) + 9t = 3t + -8

Reorder the terms:
-4(-4 + t) + 9t = 3t + -8
(-4 * -4 + t * -4) + 9t = 3t + -8
(16 + -4t) + 9t = 3t + -8

Combine like terms: -4t + 9t = 5t
16 + 5t = 3t + -8

Reorder the terms:
16 + 5t = -8 + 3t

Solving
16 + 5t = -8 + 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.
16 + 5t + -3t = -8 + 3t + -3t

Combine like terms: 5t + -3t = 2t
16 + 2t = -8 + 3t + -3t

Combine like terms: 3t + -3t = 0
16 + 2t = -8 + 0
16 + 2t = -8

Add '-16' to each side of the equation.
16 + -16 + 2t = -8 + -16

Combine like terms: 16 + -16 = 0
0 + 2t = -8 + -16
2t = -8 + -16

Combine like terms: -8 + -16 = -24
2t = -24

Divide each side by '2'.
t = -12

Simplifying
t = -12

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