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

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


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

Reorder the terms:
-4(-2 + 3t) + 6t = 3t + -9
(-2 * -4 + 3t * -4) + 6t = 3t + -9
(8 + -12t) + 6t = 3t + -9

Combine like terms: -12t + 6t = -6t
8 + -6t = 3t + -9

Reorder the terms:
8 + -6t = -9 + 3t

Solving
8 + -6t = -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 + -6t + -3t = -9 + 3t + -3t

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

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

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

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

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

Divide each side by '-9'.
t = 1.888888889

Simplifying
t = 1.888888889

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