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

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


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

Reorder the terms:
5(-3 + 4t) + 6t = 2t + -2
(-3 * 5 + 4t * 5) + 6t = 2t + -2
(-15 + 20t) + 6t = 2t + -2

Combine like terms: 20t + 6t = 26t
-15 + 26t = 2t + -2

Reorder the terms:
-15 + 26t = -2 + 2t

Solving
-15 + 26t = -2 + 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 + 26t + -2t = -2 + 2t + -2t

Combine like terms: 26t + -2t = 24t
-15 + 24t = -2 + 2t + -2t

Combine like terms: 2t + -2t = 0
-15 + 24t = -2 + 0
-15 + 24t = -2

Add '15' to each side of the equation.
-15 + 15 + 24t = -2 + 15

Combine like terms: -15 + 15 = 0
0 + 24t = -2 + 15
24t = -2 + 15

Combine like terms: -2 + 15 = 13
24t = 13

Divide each side by '24'.
t = 0.5416666667

Simplifying
t = 0.5416666667

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