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Simplifying 15 + -1q = 2q + 27 Reorder the terms: 15 + -1q = 27 + 2q Solving 15 + -1q = 27 + 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. 15 + -1q + -2q = 27 + 2q + -2q Combine like terms: -1q + -2q = -3q 15 + -3q = 27 + 2q + -2q Combine like terms: 2q + -2q = 0 15 + -3q = 27 + 0 15 + -3q = 27 Add '-15' to each side of the equation. 15 + -15 + -3q = 27 + -15 Combine like terms: 15 + -15 = 0 0 + -3q = 27 + -15 -3q = 27 + -15 Combine like terms: 27 + -15 = 12 -3q = 12 Divide each side by '-3'. q = -4 Simplifying q = -4
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