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

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


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

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

Combine like terms: -3t + 7t = 4t
15 + 4t = 9t + -5

Reorder the terms:
15 + 4t = -5 + 9t

Solving
15 + 4t = -5 + 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 = -5 + 9t + -9t

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

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

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

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

Combine like terms: -5 + -15 = -20
-5t = -20

Divide each side by '-5'.
t = 4

Simplifying
t = 4

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