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

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


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

Reorder the terms:
-4(-5 + 2t) + 6t = 3t + -2
(-5 * -4 + 2t * -4) + 6t = 3t + -2
(20 + -8t) + 6t = 3t + -2

Combine like terms: -8t + 6t = -2t
20 + -2t = 3t + -2

Reorder the terms:
20 + -2t = -2 + 3t

Solving
20 + -2t = -2 + 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.
20 + -2t + -3t = -2 + 3t + -3t

Combine like terms: -2t + -3t = -5t
20 + -5t = -2 + 3t + -3t

Combine like terms: 3t + -3t = 0
20 + -5t = -2 + 0
20 + -5t = -2

Add '-20' to each side of the equation.
20 + -20 + -5t = -2 + -20

Combine like terms: 20 + -20 = 0
0 + -5t = -2 + -20
-5t = -2 + -20

Combine like terms: -2 + -20 = -22
-5t = -22

Divide each side by '-5'.
t = 4.4

Simplifying
t = 4.4

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