4q+9-5q=-18q-2(-18q-14)

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Solution for 4q+9-5q=-18q-2(-18q-14) equation: 


Simplifying
4q + 9 + -5q = -18q + -2(-18q + -14)

Reorder the terms:
9 + 4q + -5q = -18q + -2(-18q + -14)

Combine like terms: 4q + -5q = -1q
9 + -1q = -18q + -2(-18q + -14)

Reorder the terms:
9 + -1q = -18q + -2(-14 + -18q)
9 + -1q = -18q + (-14 * -2 + -18q * -2)
9 + -1q = -18q + (28 + 36q)

Reorder the terms:
9 + -1q = 28 + -18q + 36q

Combine like terms: -18q + 36q = 18q
9 + -1q = 28 + 18q

Solving
9 + -1q = 28 + 18q

Solving for variable 'q'.

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

Add '-18q' to each side of the equation.
9 + -1q + -18q = 28 + 18q + -18q

Combine like terms: -1q + -18q = -19q
9 + -19q = 28 + 18q + -18q

Combine like terms: 18q + -18q = 0
9 + -19q = 28 + 0
9 + -19q = 28

Add '-9' to each side of the equation.
9 + -9 + -19q = 28 + -9

Combine like terms: 9 + -9 = 0
0 + -19q = 28 + -9
-19q = 28 + -9

Combine like terms: 28 + -9 = 19
-19q = 19

Divide each side by '-19'.
q = -1

Simplifying
q = -1

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