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

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


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

Reorder the terms:
-5(-5 + t) + 9t = 8t + -5
(-5 * -5 + t * -5) + 9t = 8t + -5
(25 + -5t) + 9t = 8t + -5

Combine like terms: -5t + 9t = 4t
25 + 4t = 8t + -5

Reorder the terms:
25 + 4t = -5 + 8t

Solving
25 + 4t = -5 + 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.
25 + 4t + -8t = -5 + 8t + -8t

Combine like terms: 4t + -8t = -4t
25 + -4t = -5 + 8t + -8t

Combine like terms: 8t + -8t = 0
25 + -4t = -5 + 0
25 + -4t = -5

Add '-25' to each side of the equation.
25 + -25 + -4t = -5 + -25

Combine like terms: 25 + -25 = 0
0 + -4t = -5 + -25
-4t = -5 + -25

Combine like terms: -5 + -25 = -30
-4t = -30

Divide each side by '-4'.
t = 7.5

Simplifying
t = 7.5

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