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Simplifying 3q + 5(1 + -1q) = 1q + 3(1 + -1q) 3q + (1 * 5 + -1q * 5) = 1q + 3(1 + -1q) 3q + (5 + -5q) = 1q + 3(1 + -1q) Reorder the terms: 5 + 3q + -5q = 1q + 3(1 + -1q) Combine like terms: 3q + -5q = -2q 5 + -2q = 1q + 3(1 + -1q) 5 + -2q = 1q + (1 * 3 + -1q * 3) 5 + -2q = 1q + (3 + -3q) Reorder the terms: 5 + -2q = 3 + 1q + -3q Combine like terms: 1q + -3q = -2q 5 + -2q = 3 + -2q Add '2q' to each side of the equation. 5 + -2q + 2q = 3 + -2q + 2q Combine like terms: -2q + 2q = 0 5 + 0 = 3 + -2q + 2q 5 = 3 + -2q + 2q Combine like terms: -2q + 2q = 0 5 = 3 + 0 5 = 3 Solving 5 = 3 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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