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Simplifying 5(q + -4) + 4 = 2(q + 12) + -1q Reorder the terms: 5(-4 + q) + 4 = 2(q + 12) + -1q (-4 * 5 + q * 5) + 4 = 2(q + 12) + -1q (-20 + 5q) + 4 = 2(q + 12) + -1q Reorder the terms: -20 + 4 + 5q = 2(q + 12) + -1q Combine like terms: -20 + 4 = -16 -16 + 5q = 2(q + 12) + -1q Reorder the terms: -16 + 5q = 2(12 + q) + -1q -16 + 5q = (12 * 2 + q * 2) + -1q -16 + 5q = (24 + 2q) + -1q Combine like terms: 2q + -1q = 1q -16 + 5q = 24 + 1q Solving -16 + 5q = 24 + 1q 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. -16 + 5q + -1q = 24 + 1q + -1q Combine like terms: 5q + -1q = 4q -16 + 4q = 24 + 1q + -1q Combine like terms: 1q + -1q = 0 -16 + 4q = 24 + 0 -16 + 4q = 24 Add '16' to each side of the equation. -16 + 16 + 4q = 24 + 16 Combine like terms: -16 + 16 = 0 0 + 4q = 24 + 16 4q = 24 + 16 Combine like terms: 24 + 16 = 40 4q = 40 Divide each side by '4'. q = 10 Simplifying q = 10
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