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Simplifying 2(5q + -3) + -3(2q + -1) = 9 Reorder the terms: 2(-3 + 5q) + -3(2q + -1) = 9 (-3 * 2 + 5q * 2) + -3(2q + -1) = 9 (-6 + 10q) + -3(2q + -1) = 9 Reorder the terms: -6 + 10q + -3(-1 + 2q) = 9 -6 + 10q + (-1 * -3 + 2q * -3) = 9 -6 + 10q + (3 + -6q) = 9 Reorder the terms: -6 + 3 + 10q + -6q = 9 Combine like terms: -6 + 3 = -3 -3 + 10q + -6q = 9 Combine like terms: 10q + -6q = 4q -3 + 4q = 9 Solving -3 + 4q = 9 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 4q = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 4q = 9 + 3 4q = 9 + 3 Combine like terms: 9 + 3 = 12 4q = 12 Divide each side by '4'. q = 3 Simplifying q = 3
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