-5(4t-5)+6t=8t-6

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Solution for -5(4t-5)+6t=8t-6 equation:


Simplifying
-5(4t + -5) + 6t = 8t + -6

Reorder the terms:
-5(-5 + 4t) + 6t = 8t + -6
(-5 * -5 + 4t * -5) + 6t = 8t + -6
(25 + -20t) + 6t = 8t + -6

Combine like terms: -20t + 6t = -14t
25 + -14t = 8t + -6

Reorder the terms:
25 + -14t = -6 + 8t

Solving
25 + -14t = -6 + 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 + -14t + -8t = -6 + 8t + -8t

Combine like terms: -14t + -8t = -22t
25 + -22t = -6 + 8t + -8t

Combine like terms: 8t + -8t = 0
25 + -22t = -6 + 0
25 + -22t = -6

Add '-25' to each side of the equation.
25 + -25 + -22t = -6 + -25

Combine like terms: 25 + -25 = 0
0 + -22t = -6 + -25
-22t = -6 + -25

Combine like terms: -6 + -25 = -31
-22t = -31

Divide each side by '-22'.
t = 1.409090909

Simplifying
t = 1.409090909

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