-5(t-2)+9t=7t-7

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Solution for -5(t-2)+9t=7t-7 equation:


Simplifying
-5(t + -2) + 9t = 7t + -7

Reorder the terms:
-5(-2 + t) + 9t = 7t + -7
(-2 * -5 + t * -5) + 9t = 7t + -7
(10 + -5t) + 9t = 7t + -7

Combine like terms: -5t + 9t = 4t
10 + 4t = 7t + -7

Reorder the terms:
10 + 4t = -7 + 7t

Solving
10 + 4t = -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.
10 + 4t + -7t = -7 + 7t + -7t

Combine like terms: 4t + -7t = -3t
10 + -3t = -7 + 7t + -7t

Combine like terms: 7t + -7t = 0
10 + -3t = -7 + 0
10 + -3t = -7

Add '-10' to each side of the equation.
10 + -10 + -3t = -7 + -10

Combine like terms: 10 + -10 = 0
0 + -3t = -7 + -10
-3t = -7 + -10

Combine like terms: -7 + -10 = -17
-3t = -17

Divide each side by '-3'.
t = 5.666666667

Simplifying
t = 5.666666667

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