6(3-4t)=-12(t+1)-6

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Solution for 6(3-4t)=-12(t+1)-6 equation:


Simplifying
6(3 + -4t) = -12(t + 1) + -6
(3 * 6 + -4t * 6) = -12(t + 1) + -6
(18 + -24t) = -12(t + 1) + -6

Reorder the terms:
18 + -24t = -12(1 + t) + -6
18 + -24t = (1 * -12 + t * -12) + -6
18 + -24t = (-12 + -12t) + -6

Reorder the terms:
18 + -24t = -12 + -6 + -12t

Combine like terms: -12 + -6 = -18
18 + -24t = -18 + -12t

Solving
18 + -24t = -18 + -12t

Solving for variable 't'.

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

Add '12t' to each side of the equation.
18 + -24t + 12t = -18 + -12t + 12t

Combine like terms: -24t + 12t = -12t
18 + -12t = -18 + -12t + 12t

Combine like terms: -12t + 12t = 0
18 + -12t = -18 + 0
18 + -12t = -18

Add '-18' to each side of the equation.
18 + -18 + -12t = -18 + -18

Combine like terms: 18 + -18 = 0
0 + -12t = -18 + -18
-12t = -18 + -18

Combine like terms: -18 + -18 = -36
-12t = -36

Divide each side by '-12'.
t = 3

Simplifying
t = 3

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