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Simplifying 1(q + 6) = 2q + -9 Reorder the terms: 1(6 + q) = 2q + -9 (6 * 1 + q * 1) = 2q + -9 (6 + 1q) = 2q + -9 Reorder the terms: 6 + 1q = -9 + 2q Solving 6 + 1q = -9 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. 6 + 1q + -2q = -9 + 2q + -2q Combine like terms: 1q + -2q = -1q 6 + -1q = -9 + 2q + -2q Combine like terms: 2q + -2q = 0 6 + -1q = -9 + 0 6 + -1q = -9 Add '-6' to each side of the equation. 6 + -6 + -1q = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -1q = -9 + -6 -1q = -9 + -6 Combine like terms: -9 + -6 = -15 -1q = -15 Divide each side by '-1'. q = 15 Simplifying q = 15
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