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Simplifying 5q + 2(3q + -4) = 3 + 2q Reorder the terms: 5q + 2(-4 + 3q) = 3 + 2q 5q + (-4 * 2 + 3q * 2) = 3 + 2q 5q + (-8 + 6q) = 3 + 2q Reorder the terms: -8 + 5q + 6q = 3 + 2q Combine like terms: 5q + 6q = 11q -8 + 11q = 3 + 2q Solving -8 + 11q = 3 + 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. -8 + 11q + -2q = 3 + 2q + -2q Combine like terms: 11q + -2q = 9q -8 + 9q = 3 + 2q + -2q Combine like terms: 2q + -2q = 0 -8 + 9q = 3 + 0 -8 + 9q = 3 Add '8' to each side of the equation. -8 + 8 + 9q = 3 + 8 Combine like terms: -8 + 8 = 0 0 + 9q = 3 + 8 9q = 3 + 8 Combine like terms: 3 + 8 = 11 9q = 11 Divide each side by '9'. q = 1.222222222 Simplifying q = 1.222222222
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