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

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


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

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

Combine like terms: -4t + 9t = 5t
12 + 5t = 7t + -7

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

Solving
12 + 5t = -7 + 7t

Solving for variable 't'.

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

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

Combine like terms: 5t + -7t = -2t
12 + -2t = -7 + 7t + -7t

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

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

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

Combine like terms: -7 + -12 = -19
-2t = -19

Divide each side by '-2'.
t = 9.5

Simplifying
t = 9.5

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