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Simplifying 10 = 2(q + 1) Reorder the terms: 10 = 2(1 + q) 10 = (1 * 2 + q * 2) 10 = (2 + 2q) Solving 10 = 2 + 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 + -2q = 2 + 2q + -2q Combine like terms: 2q + -2q = 0 10 + -2q = 2 + 0 10 + -2q = 2 Add '-10' to each side of the equation. 10 + -10 + -2q = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -2q = 2 + -10 -2q = 2 + -10 Combine like terms: 2 + -10 = -8 -2q = -8 Divide each side by '-2'. q = 4 Simplifying q = 4
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