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Simplifying 4 + 9q = 8(2q + -17) Reorder the terms: 4 + 9q = 8(-17 + 2q) 4 + 9q = (-17 * 8 + 2q * 8) 4 + 9q = (-136 + 16q) Solving 4 + 9q = -136 + 16q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-16q' to each side of the equation. 4 + 9q + -16q = -136 + 16q + -16q Combine like terms: 9q + -16q = -7q 4 + -7q = -136 + 16q + -16q Combine like terms: 16q + -16q = 0 4 + -7q = -136 + 0 4 + -7q = -136 Add '-4' to each side of the equation. 4 + -4 + -7q = -136 + -4 Combine like terms: 4 + -4 = 0 0 + -7q = -136 + -4 -7q = -136 + -4 Combine like terms: -136 + -4 = -140 -7q = -140 Divide each side by '-7'. q = 20 Simplifying q = 20
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