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Simplifying 16 + -4(q + -1) = 5q + 3(2q + 7) Reorder the terms: 16 + -4(-1 + q) = 5q + 3(2q + 7) 16 + (-1 * -4 + q * -4) = 5q + 3(2q + 7) 16 + (4 + -4q) = 5q + 3(2q + 7) Combine like terms: 16 + 4 = 20 20 + -4q = 5q + 3(2q + 7) Reorder the terms: 20 + -4q = 5q + 3(7 + 2q) 20 + -4q = 5q + (7 * 3 + 2q * 3) 20 + -4q = 5q + (21 + 6q) Reorder the terms: 20 + -4q = 21 + 5q + 6q Combine like terms: 5q + 6q = 11q 20 + -4q = 21 + 11q Solving 20 + -4q = 21 + 11q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-11q' to each side of the equation. 20 + -4q + -11q = 21 + 11q + -11q Combine like terms: -4q + -11q = -15q 20 + -15q = 21 + 11q + -11q Combine like terms: 11q + -11q = 0 20 + -15q = 21 + 0 20 + -15q = 21 Add '-20' to each side of the equation. 20 + -20 + -15q = 21 + -20 Combine like terms: 20 + -20 = 0 0 + -15q = 21 + -20 -15q = 21 + -20 Combine like terms: 21 + -20 = 1 -15q = 1 Divide each side by '-15'. q = -0.06666666667 Simplifying q = -0.06666666667
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