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Simplifying 5(q + 6) + 6 = 4q + -8 Reorder the terms: 5(6 + q) + 6 = 4q + -8 (6 * 5 + q * 5) + 6 = 4q + -8 (30 + 5q) + 6 = 4q + -8 Reorder the terms: 30 + 6 + 5q = 4q + -8 Combine like terms: 30 + 6 = 36 36 + 5q = 4q + -8 Reorder the terms: 36 + 5q = -8 + 4q Solving 36 + 5q = -8 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. 36 + 5q + -4q = -8 + 4q + -4q Combine like terms: 5q + -4q = 1q 36 + 1q = -8 + 4q + -4q Combine like terms: 4q + -4q = 0 36 + 1q = -8 + 0 36 + 1q = -8 Add '-36' to each side of the equation. 36 + -36 + 1q = -8 + -36 Combine like terms: 36 + -36 = 0 0 + 1q = -8 + -36 1q = -8 + -36 Combine like terms: -8 + -36 = -44 1q = -44 Divide each side by '1'. q = -44 Simplifying q = -44
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