6(t-4)+8t=7(21t+3)-9

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Solution for 6(t-4)+8t=7(21t+3)-9 equation:


Simplifying
6(t + -4) + 8t = 7(21t + 3) + -9

Reorder the terms:
6(-4 + t) + 8t = 7(21t + 3) + -9
(-4 * 6 + t * 6) + 8t = 7(21t + 3) + -9
(-24 + 6t) + 8t = 7(21t + 3) + -9

Combine like terms: 6t + 8t = 14t
-24 + 14t = 7(21t + 3) + -9

Reorder the terms:
-24 + 14t = 7(3 + 21t) + -9
-24 + 14t = (3 * 7 + 21t * 7) + -9
-24 + 14t = (21 + 147t) + -9

Reorder the terms:
-24 + 14t = 21 + -9 + 147t

Combine like terms: 21 + -9 = 12
-24 + 14t = 12 + 147t

Solving
-24 + 14t = 12 + 147t

Solving for variable 't'.

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

Add '-147t' to each side of the equation.
-24 + 14t + -147t = 12 + 147t + -147t

Combine like terms: 14t + -147t = -133t
-24 + -133t = 12 + 147t + -147t

Combine like terms: 147t + -147t = 0
-24 + -133t = 12 + 0
-24 + -133t = 12

Add '24' to each side of the equation.
-24 + 24 + -133t = 12 + 24

Combine like terms: -24 + 24 = 0
0 + -133t = 12 + 24
-133t = 12 + 24

Combine like terms: 12 + 24 = 36
-133t = 36

Divide each side by '-133'.
t = -0.2706766917

Simplifying
t = -0.2706766917

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