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Simplifying 2(q + 3) + (3q + -4) = 9 Reorder the terms: 2(3 + q) + (3q + -4) = 9 (3 * 2 + q * 2) + (3q + -4) = 9 (6 + 2q) + (3q + -4) = 9 Reorder the terms: 6 + 2q + (-4 + 3q) = 9 Remove parenthesis around (-4 + 3q) 6 + 2q + -4 + 3q = 9 Reorder the terms: 6 + -4 + 2q + 3q = 9 Combine like terms: 6 + -4 = 2 2 + 2q + 3q = 9 Combine like terms: 2q + 3q = 5q 2 + 5q = 9 Solving 2 + 5q = 9 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 + 5q = 9 + -2 Combine like terms: 2 + -2 = 0 0 + 5q = 9 + -2 5q = 9 + -2 Combine like terms: 9 + -2 = 7 5q = 7 Divide each side by '5'. q = 1.4 Simplifying q = 1.4
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