2+3(2t-7)-3(4t+3)-8=

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Solution for 2+3(2t-7)-3(4t+3)-8= equation: 


Simplifying
2 + 3(2t + -7) + -3(4t + 3) + -8 = 0

Reorder the terms:
2 + 3(-7 + 2t) + -3(4t + 3) + -8 = 0
2 + (-7 * 3 + 2t * 3) + -3(4t + 3) + -8 = 0
2 + (-21 + 6t) + -3(4t + 3) + -8 = 0

Reorder the terms:
2 + -21 + 6t + -3(3 + 4t) + -8 = 0
2 + -21 + 6t + (3 * -3 + 4t * -3) + -8 = 0
2 + -21 + 6t + (-9 + -12t) + -8 = 0

Reorder the terms:
2 + -21 + -9 + -8 + 6t + -12t = 0

Combine like terms: 2 + -21 = -19
-19 + -9 + -8 + 6t + -12t = 0

Combine like terms: -19 + -9 = -28
-28 + -8 + 6t + -12t = 0

Combine like terms: -28 + -8 = -36
-36 + 6t + -12t = 0

Combine like terms: 6t + -12t = -6t
-36 + -6t = 0

Solving
-36 + -6t = 0

Solving for variable 't'.

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

Add '36' to each side of the equation.
-36 + 36 + -6t = 0 + 36

Combine like terms: -36 + 36 = 0
0 + -6t = 0 + 36
-6t = 0 + 36

Combine like terms: 0 + 36 = 36
-6t = 36

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

Simplifying
t = -6

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