3(t-4)=-2(t+3)*14

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Solution for 3(t-4)=-2(t+3)*14 equation:


Simplifying
3(t + -4) = -2(t + 3) * 14

Reorder the terms:
3(-4 + t) = -2(t + 3) * 14
(-4 * 3 + t * 3) = -2(t + 3) * 14
(-12 + 3t) = -2(t + 3) * 14

Reorder the terms:
-12 + 3t = -2(3 + t) * 14

Reorder the terms for easier multiplication:
-12 + 3t = -2 * 14(3 + t)

Multiply -2 * 14
-12 + 3t = -28(3 + t)
-12 + 3t = (3 * -28 + t * -28)
-12 + 3t = (-84 + -28t)

Solving
-12 + 3t = -84 + -28t

Solving for variable 't'.

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

Add '28t' to each side of the equation.
-12 + 3t + 28t = -84 + -28t + 28t

Combine like terms: 3t + 28t = 31t
-12 + 31t = -84 + -28t + 28t

Combine like terms: -28t + 28t = 0
-12 + 31t = -84 + 0
-12 + 31t = -84

Add '12' to each side of the equation.
-12 + 12 + 31t = -84 + 12

Combine like terms: -12 + 12 = 0
0 + 31t = -84 + 12
31t = -84 + 12

Combine like terms: -84 + 12 = -72
31t = -72

Divide each side by '31'.
t = -2.322580645

Simplifying
t = -2.322580645

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