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