-3(t-5)+5t=9t-4

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Solution for -3(t-5)+5t=9t-4 equation:


Simplifying
-3(t + -5) + 5t = 9t + -4

Reorder the terms:
-3(-5 + t) + 5t = 9t + -4
(-5 * -3 + t * -3) + 5t = 9t + -4
(15 + -3t) + 5t = 9t + -4

Combine like terms: -3t + 5t = 2t
15 + 2t = 9t + -4

Reorder the terms:
15 + 2t = -4 + 9t

Solving
15 + 2t = -4 + 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 + 2t + -9t = -4 + 9t + -9t

Combine like terms: 2t + -9t = -7t
15 + -7t = -4 + 9t + -9t

Combine like terms: 9t + -9t = 0
15 + -7t = -4 + 0
15 + -7t = -4

Add '-15' to each side of the equation.
15 + -15 + -7t = -4 + -15

Combine like terms: 15 + -15 = 0
0 + -7t = -4 + -15
-7t = -4 + -15

Combine like terms: -4 + -15 = -19
-7t = -19

Divide each side by '-7'.
t = 2.714285714

Simplifying
t = 2.714285714

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