-4(5t-2)+5t=3t-9

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Solution for -4(5t-2)+5t=3t-9 equation:


Simplifying
-4(5t + -2) + 5t = 3t + -9

Reorder the terms:
-4(-2 + 5t) + 5t = 3t + -9
(-2 * -4 + 5t * -4) + 5t = 3t + -9
(8 + -20t) + 5t = 3t + -9

Combine like terms: -20t + 5t = -15t
8 + -15t = 3t + -9

Reorder the terms:
8 + -15t = -9 + 3t

Solving
8 + -15t = -9 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
8 + -15t + -3t = -9 + 3t + -3t

Combine like terms: -15t + -3t = -18t
8 + -18t = -9 + 3t + -3t

Combine like terms: 3t + -3t = 0
8 + -18t = -9 + 0
8 + -18t = -9

Add '-8' to each side of the equation.
8 + -8 + -18t = -9 + -8

Combine like terms: 8 + -8 = 0
0 + -18t = -9 + -8
-18t = -9 + -8

Combine like terms: -9 + -8 = -17
-18t = -17

Divide each side by '-18'.
t = 0.9444444444

Simplifying
t = 0.9444444444

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