2-7(14q+7-2)-3q=9

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Solution for 2-7(14q+7-2)-3q=9 equation:


Simplifying
2 + -7(14q + 7 + -2) + -3q = 9

Reorder the terms:
2 + -7(7 + -2 + 14q) + -3q = 9

Combine like terms: 7 + -2 = 5
2 + -7(5 + 14q) + -3q = 9
2 + (5 * -7 + 14q * -7) + -3q = 9
2 + (-35 + -98q) + -3q = 9

Combine like terms: 2 + -35 = -33
-33 + -98q + -3q = 9

Combine like terms: -98q + -3q = -101q
-33 + -101q = 9

Solving
-33 + -101q = 9

Solving for variable 'q'.

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

Add '33' to each side of the equation.
-33 + 33 + -101q = 9 + 33

Combine like terms: -33 + 33 = 0
0 + -101q = 9 + 33
-101q = 9 + 33

Combine like terms: 9 + 33 = 42
-101q = 42

Divide each side by '-101'.
q = -0.4158415842

Simplifying
q = -0.4158415842

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