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Simplifying 5(2 + q) + 3(4q + 1) = 0 (2 * 5 + q * 5) + 3(4q + 1) = 0 (10 + 5q) + 3(4q + 1) = 0 Reorder the terms: 10 + 5q + 3(1 + 4q) = 0 10 + 5q + (1 * 3 + 4q * 3) = 0 10 + 5q + (3 + 12q) = 0 Reorder the terms: 10 + 3 + 5q + 12q = 0 Combine like terms: 10 + 3 = 13 13 + 5q + 12q = 0 Combine like terms: 5q + 12q = 17q 13 + 17q = 0 Solving 13 + 17q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 17q = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 17q = 0 + -13 17q = 0 + -13 Combine like terms: 0 + -13 = -13 17q = -13 Divide each side by '17'. q = -0.7647058824 Simplifying q = -0.7647058824
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