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Simplifying 9q + 6(q + -13) = 18 + -1q Reorder the terms: 9q + 6(-13 + q) = 18 + -1q 9q + (-13 * 6 + q * 6) = 18 + -1q 9q + (-78 + 6q) = 18 + -1q Reorder the terms: -78 + 9q + 6q = 18 + -1q Combine like terms: 9q + 6q = 15q -78 + 15q = 18 + -1q Solving -78 + 15q = 18 + -1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add 'q' to each side of the equation. -78 + 15q + q = 18 + -1q + q Combine like terms: 15q + q = 16q -78 + 16q = 18 + -1q + q Combine like terms: -1q + q = 0 -78 + 16q = 18 + 0 -78 + 16q = 18 Add '78' to each side of the equation. -78 + 78 + 16q = 18 + 78 Combine like terms: -78 + 78 = 0 0 + 16q = 18 + 78 16q = 18 + 78 Combine like terms: 18 + 78 = 96 16q = 96 Divide each side by '16'. q = 6 Simplifying q = 6
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