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Simplifying 2(2q + 1) = 3(9 + -2) Reorder the terms: 2(1 + 2q) = 3(9 + -2) (1 * 2 + 2q * 2) = 3(9 + -2) (2 + 4q) = 3(9 + -2) Combine like terms: 9 + -2 = 7 2 + 4q = 3(7) Multiply 3 * 7 2 + 4q = 21 Solving 2 + 4q = 21 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 4q = 21 + -2 Combine like terms: 2 + -2 = 0 0 + 4q = 21 + -2 4q = 21 + -2 Combine like terms: 21 + -2 = 19 4q = 19 Divide each side by '4'. q = 4.75 Simplifying q = 4.75
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