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

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


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

Reorder the terms:
6(-4 + 3t) + -4t = (t + -2)
(-4 * 6 + 3t * 6) + -4t = (t + -2)
(-24 + 18t) + -4t = (t + -2)

Combine like terms: 18t + -4t = 14t
-24 + 14t = (t + -2)

Reorder the terms:
-24 + 14t = (-2 + t)

Remove parenthesis around (-2 + t)
-24 + 14t = -2 + t

Solving
-24 + 14t = -2 + t

Solving for variable 't'.

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

Add '-1t' to each side of the equation.
-24 + 14t + -1t = -2 + t + -1t

Combine like terms: 14t + -1t = 13t
-24 + 13t = -2 + t + -1t

Combine like terms: t + -1t = 0
-24 + 13t = -2 + 0
-24 + 13t = -2

Add '24' to each side of the equation.
-24 + 24 + 13t = -2 + 24

Combine like terms: -24 + 24 = 0
0 + 13t = -2 + 24
13t = -2 + 24

Combine like terms: -2 + 24 = 22
13t = 22

Divide each side by '13'.
t = 1.692307692

Simplifying
t = 1.692307692

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