-3(t-4)+5t=9t-2

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Solution for -3(t-4)+5t=9t-2 equation:


Simplifying
-3(t + -4) + 5t = 9t + -2

Reorder the terms:
-3(-4 + t) + 5t = 9t + -2
(-4 * -3 + t * -3) + 5t = 9t + -2
(12 + -3t) + 5t = 9t + -2

Combine like terms: -3t + 5t = 2t
12 + 2t = 9t + -2

Reorder the terms:
12 + 2t = -2 + 9t

Solving
12 + 2t = -2 + 9t

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-9t' to each side of the equation.
12 + 2t + -9t = -2 + 9t + -9t

Combine like terms: 2t + -9t = -7t
12 + -7t = -2 + 9t + -9t

Combine like terms: 9t + -9t = 0
12 + -7t = -2 + 0
12 + -7t = -2

Add '-12' to each side of the equation.
12 + -12 + -7t = -2 + -12

Combine like terms: 12 + -12 = 0
0 + -7t = -2 + -12
-7t = -2 + -12

Combine like terms: -2 + -12 = -14
-7t = -14

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

Simplifying
t = 2

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