3(t-8)+6(t-12)=12

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Solution for 3(t-8)+6(t-12)=12 equation:


Simplifying
3(t + -8) + 6(t + -12) = 12

Reorder the terms:
3(-8 + t) + 6(t + -12) = 12
(-8 * 3 + t * 3) + 6(t + -12) = 12
(-24 + 3t) + 6(t + -12) = 12

Reorder the terms:
-24 + 3t + 6(-12 + t) = 12
-24 + 3t + (-12 * 6 + t * 6) = 12
-24 + 3t + (-72 + 6t) = 12

Reorder the terms:
-24 + -72 + 3t + 6t = 12

Combine like terms: -24 + -72 = -96
-96 + 3t + 6t = 12

Combine like terms: 3t + 6t = 9t
-96 + 9t = 12

Solving
-96 + 9t = 12

Solving for variable 't'.

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

Add '96' to each side of the equation.
-96 + 96 + 9t = 12 + 96

Combine like terms: -96 + 96 = 0
0 + 9t = 12 + 96
9t = 12 + 96

Combine like terms: 12 + 96 = 108
9t = 108

Divide each side by '9'.
t = 12

Simplifying
t = 12

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