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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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