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Simplifying 9q + -1(q + -5) = 6q + 2(q + 1) Reorder the terms: 9q + -1(-5 + q) = 6q + 2(q + 1) 9q + (-5 * -1 + q * -1) = 6q + 2(q + 1) 9q + (5 + -1q) = 6q + 2(q + 1) Reorder the terms: 5 + 9q + -1q = 6q + 2(q + 1) Combine like terms: 9q + -1q = 8q 5 + 8q = 6q + 2(q + 1) Reorder the terms: 5 + 8q = 6q + 2(1 + q) 5 + 8q = 6q + (1 * 2 + q * 2) 5 + 8q = 6q + (2 + 2q) Reorder the terms: 5 + 8q = 2 + 6q + 2q Combine like terms: 6q + 2q = 8q 5 + 8q = 2 + 8q Add '-8q' to each side of the equation. 5 + 8q + -8q = 2 + 8q + -8q Combine like terms: 8q + -8q = 0 5 + 0 = 2 + 8q + -8q 5 = 2 + 8q + -8q Combine like terms: 8q + -8q = 0 5 = 2 + 0 5 = 2 Solving 5 = 2 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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