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

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


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

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

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

Reorder the terms:
8 + 5t = -9 + 3t

Solving
8 + 5t = -9 + 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 = -9 + 3t + -3t

Combine like terms: 5t + -3t = 2t
8 + 2t = -9 + 3t + -3t

Combine like terms: 3t + -3t = 0
8 + 2t = -9 + 0
8 + 2t = -9

Add '-8' to each side of the equation.
8 + -8 + 2t = -9 + -8

Combine like terms: 8 + -8 = 0
0 + 2t = -9 + -8
2t = -9 + -8

Combine like terms: -9 + -8 = -17
2t = -17

Divide each side by '2'.
t = -8.5

Simplifying
t = -8.5

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