-2(t-1)+9t=3t-4

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Solution for -2(t-1)+9t=3t-4 equation:


Simplifying
-2(t + -1) + 9t = 3t + -4

Reorder the terms:
-2(-1 + t) + 9t = 3t + -4
(-1 * -2 + t * -2) + 9t = 3t + -4
(2 + -2t) + 9t = 3t + -4

Combine like terms: -2t + 9t = 7t
2 + 7t = 3t + -4

Reorder the terms:
2 + 7t = -4 + 3t

Solving
2 + 7t = -4 + 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.
2 + 7t + -3t = -4 + 3t + -3t

Combine like terms: 7t + -3t = 4t
2 + 4t = -4 + 3t + -3t

Combine like terms: 3t + -3t = 0
2 + 4t = -4 + 0
2 + 4t = -4

Add '-2' to each side of the equation.
2 + -2 + 4t = -4 + -2

Combine like terms: 2 + -2 = 0
0 + 4t = -4 + -2
4t = -4 + -2

Combine like terms: -4 + -2 = -6
4t = -6

Divide each side by '4'.
t = -1.5

Simplifying
t = -1.5

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