-4(t-2)+9t=3t-6

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Solution for -4(t-2)+9t=3t-6 equation:


Simplifying
-4(t + -2) + 9t = 3t + -6

Reorder the terms:
-4(-2 + t) + 9t = 3t + -6
(-2 * -4 + t * -4) + 9t = 3t + -6
(8 + -4t) + 9t = 3t + -6

Combine like terms: -4t + 9t = 5t
8 + 5t = 3t + -6

Reorder the terms:
8 + 5t = -6 + 3t

Solving
8 + 5t = -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.
8 + 5t + -3t = -6 + 3t + -3t

Combine like terms: 5t + -3t = 2t
8 + 2t = -6 + 3t + -3t

Combine like terms: 3t + -3t = 0
8 + 2t = -6 + 0
8 + 2t = -6

Add '-8' to each side of the equation.
8 + -8 + 2t = -6 + -8

Combine like terms: 8 + -8 = 0
0 + 2t = -6 + -8
2t = -6 + -8

Combine like terms: -6 + -8 = -14
2t = -14

Divide each side by '2'.
t = -7

Simplifying
t = -7

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