-9(-2q-73)-83q=8(-8q+65)

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Solution for -9(-2q-73)-83q=8(-8q+65) equation:


Simplifying
-9(-2q + -73) + -83q = 8(-8q + 65)

Reorder the terms:
-9(-73 + -2q) + -83q = 8(-8q + 65)
(-73 * -9 + -2q * -9) + -83q = 8(-8q + 65)
(657 + 18q) + -83q = 8(-8q + 65)

Combine like terms: 18q + -83q = -65q
657 + -65q = 8(-8q + 65)

Reorder the terms:
657 + -65q = 8(65 + -8q)
657 + -65q = (65 * 8 + -8q * 8)
657 + -65q = (520 + -64q)

Solving
657 + -65q = 520 + -64q

Solving for variable 'q'.

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

Add '64q' to each side of the equation.
657 + -65q + 64q = 520 + -64q + 64q

Combine like terms: -65q + 64q = -1q
657 + -1q = 520 + -64q + 64q

Combine like terms: -64q + 64q = 0
657 + -1q = 520 + 0
657 + -1q = 520

Add '-657' to each side of the equation.
657 + -657 + -1q = 520 + -657

Combine like terms: 657 + -657 = 0
0 + -1q = 520 + -657
-1q = 520 + -657

Combine like terms: 520 + -657 = -137
-1q = -137

Divide each side by '-1'.
q = 137

Simplifying
q = 137

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