-4(5t-2)+7t=2t-9

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Solution for -4(5t-2)+7t=2t-9 equation:


Simplifying
-4(5t + -2) + 7t = 2t + -9

Reorder the terms:
-4(-2 + 5t) + 7t = 2t + -9
(-2 * -4 + 5t * -4) + 7t = 2t + -9
(8 + -20t) + 7t = 2t + -9

Combine like terms: -20t + 7t = -13t
8 + -13t = 2t + -9

Reorder the terms:
8 + -13t = -9 + 2t

Solving
8 + -13t = -9 + 2t

Solving for variable 't'.

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

Add '-2t' to each side of the equation.
8 + -13t + -2t = -9 + 2t + -2t

Combine like terms: -13t + -2t = -15t
8 + -15t = -9 + 2t + -2t

Combine like terms: 2t + -2t = 0
8 + -15t = -9 + 0
8 + -15t = -9

Add '-8' to each side of the equation.
8 + -8 + -15t = -9 + -8

Combine like terms: 8 + -8 = 0
0 + -15t = -9 + -8
-15t = -9 + -8

Combine like terms: -9 + -8 = -17
-15t = -17

Divide each side by '-15'.
t = 1.133333333

Simplifying
t = 1.133333333

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