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Simplifying 3(q + -3) + 4q + -1 = 5q + 5 + 2q Reorder the terms: 3(-3 + q) + 4q + -1 = 5q + 5 + 2q (-3 * 3 + q * 3) + 4q + -1 = 5q + 5 + 2q (-9 + 3q) + 4q + -1 = 5q + 5 + 2q Reorder the terms: -9 + -1 + 3q + 4q = 5q + 5 + 2q Combine like terms: -9 + -1 = -10 -10 + 3q + 4q = 5q + 5 + 2q Combine like terms: 3q + 4q = 7q -10 + 7q = 5q + 5 + 2q Reorder the terms: -10 + 7q = 5 + 5q + 2q Combine like terms: 5q + 2q = 7q -10 + 7q = 5 + 7q Add '-7q' to each side of the equation. -10 + 7q + -7q = 5 + 7q + -7q Combine like terms: 7q + -7q = 0 -10 + 0 = 5 + 7q + -7q -10 = 5 + 7q + -7q Combine like terms: 7q + -7q = 0 -10 = 5 + 0 -10 = 5 Solving -10 = 5 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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