3(2t-6)-4(3t-8)=2

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Solution for 3(2t-6)-4(3t-8)=2 equation: 


Simplifying
3(2t + -6) + -4(3t + -8) = 2

Reorder the terms:
3(-6 + 2t) + -4(3t + -8) = 2
(-6 * 3 + 2t * 3) + -4(3t + -8) = 2
(-18 + 6t) + -4(3t + -8) = 2

Reorder the terms:
-18 + 6t + -4(-8 + 3t) = 2
-18 + 6t + (-8 * -4 + 3t * -4) = 2
-18 + 6t + (32 + -12t) = 2

Reorder the terms:
-18 + 32 + 6t + -12t = 2

Combine like terms: -18 + 32 = 14
14 + 6t + -12t = 2

Combine like terms: 6t + -12t = -6t
14 + -6t = 2

Solving
14 + -6t = 2

Solving for variable 't'.

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

Add '-14' to each side of the equation.
14 + -14 + -6t = 2 + -14

Combine like terms: 14 + -14 = 0
0 + -6t = 2 + -14
-6t = 2 + -14

Combine like terms: 2 + -14 = -12
-6t = -12

Divide each side by '-6'.
t = 2

Simplifying
t = 2

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