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

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


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

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

Reorder the terms:
4 + 3t = -6(2 + 4t)
4 + 3t = (2 * -6 + 4t * -6)
4 + 3t = (-12 + -24t)

Solving
4 + 3t = -12 + -24t

Solving for variable 't'.

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

Add '24t' to each side of the equation.
4 + 3t + 24t = -12 + -24t + 24t

Combine like terms: 3t + 24t = 27t
4 + 27t = -12 + -24t + 24t

Combine like terms: -24t + 24t = 0
4 + 27t = -12 + 0
4 + 27t = -12

Add '-4' to each side of the equation.
4 + -4 + 27t = -12 + -4

Combine like terms: 4 + -4 = 0
0 + 27t = -12 + -4
27t = -12 + -4

Combine like terms: -12 + -4 = -16
27t = -16

Divide each side by '27'.
t = -0.5925925926

Simplifying
t = -0.5925925926

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