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

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


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

Reorder the terms:
-3(-5 + 4t) + 6t = 2t + -6
(-5 * -3 + 4t * -3) + 6t = 2t + -6
(15 + -12t) + 6t = 2t + -6

Combine like terms: -12t + 6t = -6t
15 + -6t = 2t + -6

Reorder the terms:
15 + -6t = -6 + 2t

Solving
15 + -6t = -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.
15 + -6t + -2t = -6 + 2t + -2t

Combine like terms: -6t + -2t = -8t
15 + -8t = -6 + 2t + -2t

Combine like terms: 2t + -2t = 0
15 + -8t = -6 + 0
15 + -8t = -6

Add '-15' to each side of the equation.
15 + -15 + -8t = -6 + -15

Combine like terms: 15 + -15 = 0
0 + -8t = -6 + -15
-8t = -6 + -15

Combine like terms: -6 + -15 = -21
-8t = -21

Divide each side by '-8'.
t = 2.625

Simplifying
t = 2.625

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