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Simplifying 6(q + 5) + -7 = 3q + -6 Reorder the terms: 6(5 + q) + -7 = 3q + -6 (5 * 6 + q * 6) + -7 = 3q + -6 (30 + 6q) + -7 = 3q + -6 Reorder the terms: 30 + -7 + 6q = 3q + -6 Combine like terms: 30 + -7 = 23 23 + 6q = 3q + -6 Reorder the terms: 23 + 6q = -6 + 3q Solving 23 + 6q = -6 + 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 + 6q + -3q = -6 + 3q + -3q Combine like terms: 6q + -3q = 3q 23 + 3q = -6 + 3q + -3q Combine like terms: 3q + -3q = 0 23 + 3q = -6 + 0 23 + 3q = -6 Add '-23' to each side of the equation. 23 + -23 + 3q = -6 + -23 Combine like terms: 23 + -23 = 0 0 + 3q = -6 + -23 3q = -6 + -23 Combine like terms: -6 + -23 = -29 3q = -29 Divide each side by '3'. q = -9.666666667 Simplifying q = -9.666666667
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