-3(t-1)+9t=4t-7

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Solution for -3(t-1)+9t=4t-7 equation:


Simplifying
-3(t + -1) + 9t = 4t + -7

Reorder the terms:
-3(-1 + t) + 9t = 4t + -7
(-1 * -3 + t * -3) + 9t = 4t + -7
(3 + -3t) + 9t = 4t + -7

Combine like terms: -3t + 9t = 6t
3 + 6t = 4t + -7

Reorder the terms:
3 + 6t = -7 + 4t

Solving
3 + 6t = -7 + 4t

Solving for variable 't'.

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

Add '-4t' to each side of the equation.
3 + 6t + -4t = -7 + 4t + -4t

Combine like terms: 6t + -4t = 2t
3 + 2t = -7 + 4t + -4t

Combine like terms: 4t + -4t = 0
3 + 2t = -7 + 0
3 + 2t = -7

Add '-3' to each side of the equation.
3 + -3 + 2t = -7 + -3

Combine like terms: 3 + -3 = 0
0 + 2t = -7 + -3
2t = -7 + -3

Combine like terms: -7 + -3 = -10
2t = -10

Divide each side by '2'.
t = -5

Simplifying
t = -5

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