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Simplifying 5q + (1 + -1q) = 8q + (1 + -1q) Remove parenthesis around (1 + -1q) 5q + 1 + -1q = 8q + (1 + -1q) Reorder the terms: 1 + 5q + -1q = 8q + (1 + -1q) Combine like terms: 5q + -1q = 4q 1 + 4q = 8q + (1 + -1q) Remove parenthesis around (1 + -1q) 1 + 4q = 8q + 1 + -1q Reorder the terms: 1 + 4q = 1 + 8q + -1q Combine like terms: 8q + -1q = 7q 1 + 4q = 1 + 7q Add '-1' to each side of the equation. 1 + -1 + 4q = 1 + -1 + 7q Combine like terms: 1 + -1 = 0 0 + 4q = 1 + -1 + 7q 4q = 1 + -1 + 7q Combine like terms: 1 + -1 = 0 4q = 0 + 7q 4q = 7q Solving 4q = 7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-7q' to each side of the equation. 4q + -7q = 7q + -7q Combine like terms: 4q + -7q = -3q -3q = 7q + -7q Combine like terms: 7q + -7q = 0 -3q = 0 Divide each side by '-3'. q = 0 Simplifying q = 0
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