-4(t-3)+9t=8t-9

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Solution for -4(t-3)+9t=8t-9 equation:


Simplifying
-4(t + -3) + 9t = 8t + -9

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

Combine like terms: -4t + 9t = 5t
12 + 5t = 8t + -9

Reorder the terms:
12 + 5t = -9 + 8t

Solving
12 + 5t = -9 + 8t

Solving for variable 't'.

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

Add '-8t' to each side of the equation.
12 + 5t + -8t = -9 + 8t + -8t

Combine like terms: 5t + -8t = -3t
12 + -3t = -9 + 8t + -8t

Combine like terms: 8t + -8t = 0
12 + -3t = -9 + 0
12 + -3t = -9

Add '-12' to each side of the equation.
12 + -12 + -3t = -9 + -12

Combine like terms: 12 + -12 = 0
0 + -3t = -9 + -12
-3t = -9 + -12

Combine like terms: -9 + -12 = -21
-3t = -21

Divide each side by '-3'.
t = 7

Simplifying
t = 7

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