-3(t-5)+7t=9t-8

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Solution for -3(t-5)+7t=9t-8 equation:


Simplifying
-3(t + -5) + 7t = 9t + -8

Reorder the terms:
-3(-5 + t) + 7t = 9t + -8
(-5 * -3 + t * -3) + 7t = 9t + -8
(15 + -3t) + 7t = 9t + -8

Combine like terms: -3t + 7t = 4t
15 + 4t = 9t + -8

Reorder the terms:
15 + 4t = -8 + 9t

Solving
15 + 4t = -8 + 9t

Solving for variable 't'.

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

Add '-9t' to each side of the equation.
15 + 4t + -9t = -8 + 9t + -9t

Combine like terms: 4t + -9t = -5t
15 + -5t = -8 + 9t + -9t

Combine like terms: 9t + -9t = 0
15 + -5t = -8 + 0
15 + -5t = -8

Add '-15' to each side of the equation.
15 + -15 + -5t = -8 + -15

Combine like terms: 15 + -15 = 0
0 + -5t = -8 + -15
-5t = -8 + -15

Combine like terms: -8 + -15 = -23
-5t = -23

Divide each side by '-5'.
t = 4.6

Simplifying
t = 4.6

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