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Simplifying -3(2q + 3) + 5(q + -4) = 0 Reorder the terms: -3(3 + 2q) + 5(q + -4) = 0 (3 * -3 + 2q * -3) + 5(q + -4) = 0 (-9 + -6q) + 5(q + -4) = 0 Reorder the terms: -9 + -6q + 5(-4 + q) = 0 -9 + -6q + (-4 * 5 + q * 5) = 0 -9 + -6q + (-20 + 5q) = 0 Reorder the terms: -9 + -20 + -6q + 5q = 0 Combine like terms: -9 + -20 = -29 -29 + -6q + 5q = 0 Combine like terms: -6q + 5q = -1q -29 + -1q = 0 Solving -29 + -1q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + -1q = 0 + 29 Combine like terms: -29 + 29 = 0 0 + -1q = 0 + 29 -1q = 0 + 29 Combine like terms: 0 + 29 = 29 -1q = 29 Divide each side by '-1'. q = -29 Simplifying q = -29
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