-5(4t-3)+7t=6t-5

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Solution for -5(4t-3)+7t=6t-5 equation:


Simplifying
-5(4t + -3) + 7t = 6t + -5

Reorder the terms:
-5(-3 + 4t) + 7t = 6t + -5
(-3 * -5 + 4t * -5) + 7t = 6t + -5
(15 + -20t) + 7t = 6t + -5

Combine like terms: -20t + 7t = -13t
15 + -13t = 6t + -5

Reorder the terms:
15 + -13t = -5 + 6t

Solving
15 + -13t = -5 + 6t

Solving for variable 't'.

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

Add '-6t' to each side of the equation.
15 + -13t + -6t = -5 + 6t + -6t

Combine like terms: -13t + -6t = -19t
15 + -19t = -5 + 6t + -6t

Combine like terms: 6t + -6t = 0
15 + -19t = -5 + 0
15 + -19t = -5

Add '-15' to each side of the equation.
15 + -15 + -19t = -5 + -15

Combine like terms: 15 + -15 = 0
0 + -19t = -5 + -15
-19t = -5 + -15

Combine like terms: -5 + -15 = -20
-19t = -20

Divide each side by '-19'.
t = 1.052631579

Simplifying
t = 1.052631579

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