7+3(2t-2)-3(4t+6)-9=

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Solution for 7+3(2t-2)-3(4t+6)-9= equation: 


Simplifying
7 + 3(2t + -2) + -3(4t + 6) + -9 = 0

Reorder the terms:
7 + 3(-2 + 2t) + -3(4t + 6) + -9 = 0
7 + (-2 * 3 + 2t * 3) + -3(4t + 6) + -9 = 0
7 + (-6 + 6t) + -3(4t + 6) + -9 = 0

Reorder the terms:
7 + -6 + 6t + -3(6 + 4t) + -9 = 0
7 + -6 + 6t + (6 * -3 + 4t * -3) + -9 = 0
7 + -6 + 6t + (-18 + -12t) + -9 = 0

Reorder the terms:
7 + -6 + -18 + -9 + 6t + -12t = 0

Combine like terms: 7 + -6 = 1
1 + -18 + -9 + 6t + -12t = 0

Combine like terms: 1 + -18 = -17
-17 + -9 + 6t + -12t = 0

Combine like terms: -17 + -9 = -26
-26 + 6t + -12t = 0

Combine like terms: 6t + -12t = -6t
-26 + -6t = 0

Solving
-26 + -6t = 0

Solving for variable 't'.

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

Add '26' to each side of the equation.
-26 + 26 + -6t = 0 + 26

Combine like terms: -26 + 26 = 0
0 + -6t = 0 + 26
-6t = 0 + 26

Combine like terms: 0 + 26 = 26
-6t = 26

Divide each side by '-6'.
t = -4.333333333

Simplifying
t = -4.333333333

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