-4(5t-4)+7t=6t-9

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Solution for -4(5t-4)+7t=6t-9 equation:


Simplifying
-4(5t + -4) + 7t = 6t + -9

Reorder the terms:
-4(-4 + 5t) + 7t = 6t + -9
(-4 * -4 + 5t * -4) + 7t = 6t + -9
(16 + -20t) + 7t = 6t + -9

Combine like terms: -20t + 7t = -13t
16 + -13t = 6t + -9

Reorder the terms:
16 + -13t = -9 + 6t

Solving
16 + -13t = -9 + 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.
16 + -13t + -6t = -9 + 6t + -6t

Combine like terms: -13t + -6t = -19t
16 + -19t = -9 + 6t + -6t

Combine like terms: 6t + -6t = 0
16 + -19t = -9 + 0
16 + -19t = -9

Add '-16' to each side of the equation.
16 + -16 + -19t = -9 + -16

Combine like terms: 16 + -16 = 0
0 + -19t = -9 + -16
-19t = -9 + -16

Combine like terms: -9 + -16 = -25
-19t = -25

Divide each side by '-19'.
t = 1.315789474

Simplifying
t = 1.315789474

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