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

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


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

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

Combine like terms: -5t + 9t = 4t
15 + 4t = 8t + -3

Reorder the terms:
15 + 4t = -3 + 8t

Solving
15 + 4t = -3 + 8t

Solving for variable 't'.

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

Add '-8t' to each side of the equation.
15 + 4t + -8t = -3 + 8t + -8t

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

Combine like terms: 8t + -8t = 0
15 + -4t = -3 + 0
15 + -4t = -3

Add '-15' to each side of the equation.
15 + -15 + -4t = -3 + -15

Combine like terms: 15 + -15 = 0
0 + -4t = -3 + -15
-4t = -3 + -15

Combine like terms: -3 + -15 = -18
-4t = -18

Divide each side by '-4'.
t = 4.5

Simplifying
t = 4.5

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