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Simplifying 5(q + 4) = q + 2q + 20 + q Reorder the terms: 5(4 + q) = q + 2q + 20 + q (4 * 5 + q * 5) = q + 2q + 20 + q (20 + 5q) = q + 2q + 20 + q Reorder the terms: 20 + 5q = 20 + q + 2q + q Combine like terms: q + 2q = 3q 20 + 5q = 20 + 3q + q Combine like terms: 3q + q = 4q 20 + 5q = 20 + 4q Add '-20' to each side of the equation. 20 + -20 + 5q = 20 + -20 + 4q Combine like terms: 20 + -20 = 0 0 + 5q = 20 + -20 + 4q 5q = 20 + -20 + 4q Combine like terms: 20 + -20 = 0 5q = 0 + 4q 5q = 4q Solving 5q = 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. 5q + -4q = 4q + -4q Combine like terms: 5q + -4q = 1q 1q = 4q + -4q Combine like terms: 4q + -4q = 0 1q = 0 Divide each side by '1'. q = 0 Simplifying q = 0
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