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Simplifying -5(q + -3) + 5 = q + -10 Reorder the terms: -5(-3 + q) + 5 = q + -10 (-3 * -5 + q * -5) + 5 = q + -10 (15 + -5q) + 5 = q + -10 Reorder the terms: 15 + 5 + -5q = q + -10 Combine like terms: 15 + 5 = 20 20 + -5q = q + -10 Reorder the terms: 20 + -5q = -10 + q Solving 20 + -5q = -10 + q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1q' to each side of the equation. 20 + -5q + -1q = -10 + q + -1q Combine like terms: -5q + -1q = -6q 20 + -6q = -10 + q + -1q Combine like terms: q + -1q = 0 20 + -6q = -10 + 0 20 + -6q = -10 Add '-20' to each side of the equation. 20 + -20 + -6q = -10 + -20 Combine like terms: 20 + -20 = 0 0 + -6q = -10 + -20 -6q = -10 + -20 Combine like terms: -10 + -20 = -30 -6q = -30 Divide each side by '-6'. q = 5 Simplifying q = 5
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