-4(3t-3)+9t=5t-7

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Solution for -4(3t-3)+9t=5t-7 equation:


Simplifying
-4(3t + -3) + 9t = 5t + -7

Reorder the terms:
-4(-3 + 3t) + 9t = 5t + -7
(-3 * -4 + 3t * -4) + 9t = 5t + -7
(12 + -12t) + 9t = 5t + -7

Combine like terms: -12t + 9t = -3t
12 + -3t = 5t + -7

Reorder the terms:
12 + -3t = -7 + 5t

Solving
12 + -3t = -7 + 5t

Solving for variable 't'.

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

Add '-5t' to each side of the equation.
12 + -3t + -5t = -7 + 5t + -5t

Combine like terms: -3t + -5t = -8t
12 + -8t = -7 + 5t + -5t

Combine like terms: 5t + -5t = 0
12 + -8t = -7 + 0
12 + -8t = -7

Add '-12' to each side of the equation.
12 + -12 + -8t = -7 + -12

Combine like terms: 12 + -12 = 0
0 + -8t = -7 + -12
-8t = -7 + -12

Combine like terms: -7 + -12 = -19
-8t = -19

Divide each side by '-8'.
t = 2.375

Simplifying
t = 2.375

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