-5(2t-4)+3t=2t-6

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Solution for -5(2t-4)+3t=2t-6 equation:


Simplifying
-5(2t + -4) + 3t = 2t + -6

Reorder the terms:
-5(-4 + 2t) + 3t = 2t + -6
(-4 * -5 + 2t * -5) + 3t = 2t + -6
(20 + -10t) + 3t = 2t + -6

Combine like terms: -10t + 3t = -7t
20 + -7t = 2t + -6

Reorder the terms:
20 + -7t = -6 + 2t

Solving
20 + -7t = -6 + 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.
20 + -7t + -2t = -6 + 2t + -2t

Combine like terms: -7t + -2t = -9t
20 + -9t = -6 + 2t + -2t

Combine like terms: 2t + -2t = 0
20 + -9t = -6 + 0
20 + -9t = -6

Add '-20' to each side of the equation.
20 + -20 + -9t = -6 + -20

Combine like terms: 20 + -20 = 0
0 + -9t = -6 + -20
-9t = -6 + -20

Combine like terms: -6 + -20 = -26
-9t = -26

Divide each side by '-9'.
t = 2.888888889

Simplifying
t = 2.888888889

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