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Simplifying 10(q + 5) = 2(q + 9) Reorder the terms: 10(5 + q) = 2(q + 9) (5 * 10 + q * 10) = 2(q + 9) (50 + 10q) = 2(q + 9) Reorder the terms: 50 + 10q = 2(9 + q) 50 + 10q = (9 * 2 + q * 2) 50 + 10q = (18 + 2q) Solving 50 + 10q = 18 + 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. 50 + 10q + -2q = 18 + 2q + -2q Combine like terms: 10q + -2q = 8q 50 + 8q = 18 + 2q + -2q Combine like terms: 2q + -2q = 0 50 + 8q = 18 + 0 50 + 8q = 18 Add '-50' to each side of the equation. 50 + -50 + 8q = 18 + -50 Combine like terms: 50 + -50 = 0 0 + 8q = 18 + -50 8q = 18 + -50 Combine like terms: 18 + -50 = -32 8q = -32 Divide each side by '8'. q = -4 Simplifying q = -4
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