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Simplifying 3(9 + -2) + 2 = 5q + -7 + -2q Combine like terms: 9 + -2 = 7 3(7) + 2 = 5q + -7 + -2q Multiply 3 * 7 21 + 2 = 5q + -7 + -2q Combine like terms: 21 + 2 = 23 23 = 5q + -7 + -2q Reorder the terms: 23 = -7 + 5q + -2q Combine like terms: 5q + -2q = 3q 23 = -7 + 3q Solving 23 = -7 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. 23 + -3q = -7 + 3q + -3q Combine like terms: 3q + -3q = 0 23 + -3q = -7 + 0 23 + -3q = -7 Add '-23' to each side of the equation. 23 + -23 + -3q = -7 + -23 Combine like terms: 23 + -23 = 0 0 + -3q = -7 + -23 -3q = -7 + -23 Combine like terms: -7 + -23 = -30 -3q = -30 Divide each side by '-3'. q = 10 Simplifying q = 10
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