-4(t-5)+9t=7t-8

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Solution for -4(t-5)+9t=7t-8 equation: 


Simplifying
-4(t + -5) + 9t = 7t + -8

Reorder the terms:
-4(-5 + t) + 9t = 7t + -8
(-5 * -4 + t * -4) + 9t = 7t + -8
(20 + -4t) + 9t = 7t + -8

Combine like terms: -4t + 9t = 5t
20 + 5t = 7t + -8

Reorder the terms:
20 + 5t = -8 + 7t

Solving
20 + 5t = -8 + 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.
20 + 5t + -7t = -8 + 7t + -7t

Combine like terms: 5t + -7t = -2t
20 + -2t = -8 + 7t + -7t

Combine like terms: 7t + -7t = 0
20 + -2t = -8 + 0
20 + -2t = -8

Add '-20' to each side of the equation.
20 + -20 + -2t = -8 + -20

Combine like terms: 20 + -20 = 0
0 + -2t = -8 + -20
-2t = -8 + -20

Combine like terms: -8 + -20 = -28
-2t = -28

Divide each side by '-2'.
t = 14

Simplifying
t = 14

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