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Simplifying 5q + -1(q + -1) = 2q + 2(q + 1) Reorder the terms: 5q + -1(-1 + q) = 2q + 2(q + 1) 5q + (-1 * -1 + q * -1) = 2q + 2(q + 1) 5q + (1 + -1q) = 2q + 2(q + 1) Reorder the terms: 1 + 5q + -1q = 2q + 2(q + 1) Combine like terms: 5q + -1q = 4q 1 + 4q = 2q + 2(q + 1) Reorder the terms: 1 + 4q = 2q + 2(1 + q) 1 + 4q = 2q + (1 * 2 + q * 2) 1 + 4q = 2q + (2 + 2q) Reorder the terms: 1 + 4q = 2 + 2q + 2q Combine like terms: 2q + 2q = 4q 1 + 4q = 2 + 4q Add '-4q' to each side of the equation. 1 + 4q + -4q = 2 + 4q + -4q Combine like terms: 4q + -4q = 0 1 + 0 = 2 + 4q + -4q 1 = 2 + 4q + -4q Combine like terms: 4q + -4q = 0 1 = 2 + 0 1 = 2 Solving 1 = 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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