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