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Simplifying 3(2q + 3) + 4(q + -2) = 8 Reorder the terms: 3(3 + 2q) + 4(q + -2) = 8 (3 * 3 + 2q * 3) + 4(q + -2) = 8 (9 + 6q) + 4(q + -2) = 8 Reorder the terms: 9 + 6q + 4(-2 + q) = 8 9 + 6q + (-2 * 4 + q * 4) = 8 9 + 6q + (-8 + 4q) = 8 Reorder the terms: 9 + -8 + 6q + 4q = 8 Combine like terms: 9 + -8 = 1 1 + 6q + 4q = 8 Combine like terms: 6q + 4q = 10q 1 + 10q = 8 Solving 1 + 10q = 8 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 10q = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 10q = 8 + -1 10q = 8 + -1 Combine like terms: 8 + -1 = 7 10q = 7 Divide each side by '10'. q = 0.7 Simplifying q = 0.7
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