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Simplifying -2(-14 + -5q) + 9(-4q + 6) = 0 (-14 * -2 + -5q * -2) + 9(-4q + 6) = 0 (28 + 10q) + 9(-4q + 6) = 0 Reorder the terms: 28 + 10q + 9(6 + -4q) = 0 28 + 10q + (6 * 9 + -4q * 9) = 0 28 + 10q + (54 + -36q) = 0 Reorder the terms: 28 + 54 + 10q + -36q = 0 Combine like terms: 28 + 54 = 82 82 + 10q + -36q = 0 Combine like terms: 10q + -36q = -26q 82 + -26q = 0 Solving 82 + -26q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-82' to each side of the equation. 82 + -82 + -26q = 0 + -82 Combine like terms: 82 + -82 = 0 0 + -26q = 0 + -82 -26q = 0 + -82 Combine like terms: 0 + -82 = -82 -26q = -82 Divide each side by '-26'. q = 3.153846154 Simplifying q = 3.153846154
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