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Simplifying -1(8q + -23) = 55 Reorder the terms: -1(-23 + 8q) = 55 (-23 * -1 + 8q * -1) = 55 (23 + -8q) = 55 Solving 23 + -8q = 55 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -8q = 55 + -23 Combine like terms: 23 + -23 = 0 0 + -8q = 55 + -23 -8q = 55 + -23 Combine like terms: 55 + -23 = 32 -8q = 32 Divide each side by '-8'. q = -4 Simplifying q = -4
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