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Simplifying 5(4 + -1q) = 10(2 + -1q) (4 * 5 + -1q * 5) = 10(2 + -1q) (20 + -5q) = 10(2 + -1q) 20 + -5q = (2 * 10 + -1q * 10) 20 + -5q = (20 + -10q) Add '-20' to each side of the equation. 20 + -20 + -5q = 20 + -20 + -10q Combine like terms: 20 + -20 = 0 0 + -5q = 20 + -20 + -10q -5q = 20 + -20 + -10q Combine like terms: 20 + -20 = 0 -5q = 0 + -10q -5q = -10q Solving -5q = -10q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '10q' to each side of the equation. -5q + 10q = -10q + 10q Combine like terms: -5q + 10q = 5q 5q = -10q + 10q Combine like terms: -10q + 10q = 0 5q = 0 Divide each side by '5'. q = 0 Simplifying q = 0
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