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Simplifying 9q + -1(q + -4) = 4q + (q + 1) Reorder the terms: 9q + -1(-4 + q) = 4q + (q + 1) 9q + (-4 * -1 + q * -1) = 4q + (q + 1) 9q + (4 + -1q) = 4q + (q + 1) Reorder the terms: 4 + 9q + -1q = 4q + (q + 1) Combine like terms: 9q + -1q = 8q 4 + 8q = 4q + (q + 1) Reorder the terms: 4 + 8q = 4q + (1 + q) Remove parenthesis around (1 + q) 4 + 8q = 4q + 1 + q Reorder the terms: 4 + 8q = 1 + 4q + q Combine like terms: 4q + q = 5q 4 + 8q = 1 + 5q Solving 4 + 8q = 1 + 5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5q' to each side of the equation. 4 + 8q + -5q = 1 + 5q + -5q Combine like terms: 8q + -5q = 3q 4 + 3q = 1 + 5q + -5q Combine like terms: 5q + -5q = 0 4 + 3q = 1 + 0 4 + 3q = 1 Add '-4' to each side of the equation. 4 + -4 + 3q = 1 + -4 Combine like terms: 4 + -4 = 0 0 + 3q = 1 + -4 3q = 1 + -4 Combine like terms: 1 + -4 = -3 3q = -3 Divide each side by '3'. q = -1 Simplifying q = -1
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