-4(t-4)+9t=3t-5

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Solution for -4(t-4)+9t=3t-5 equation: 


Simplifying
-4(t + -4) + 9t = 3t + -5

Reorder the terms:
-4(-4 + t) + 9t = 3t + -5
(-4 * -4 + t * -4) + 9t = 3t + -5
(16 + -4t) + 9t = 3t + -5

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

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

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

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

Combine like terms: 3t + -3t = 0
16 + 2t = -5 + 0
16 + 2t = -5

Add '-16' to each side of the equation.
16 + -16 + 2t = -5 + -16

Combine like terms: 16 + -16 = 0
0 + 2t = -5 + -16
2t = -5 + -16

Combine like terms: -5 + -16 = -21
2t = -21

Divide each side by '2'.
t = -10.5

Simplifying
t = -10.5

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