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Simplifying 3(q + -2) + 5 = 5q + -7 + -2q Reorder the terms: 3(-2 + q) + 5 = 5q + -7 + -2q (-2 * 3 + q * 3) + 5 = 5q + -7 + -2q (-6 + 3q) + 5 = 5q + -7 + -2q Reorder the terms: -6 + 5 + 3q = 5q + -7 + -2q Combine like terms: -6 + 5 = -1 -1 + 3q = 5q + -7 + -2q Reorder the terms: -1 + 3q = -7 + 5q + -2q Combine like terms: 5q + -2q = 3q -1 + 3q = -7 + 3q Add '-3q' to each side of the equation. -1 + 3q + -3q = -7 + 3q + -3q Combine like terms: 3q + -3q = 0 -1 + 0 = -7 + 3q + -3q -1 = -7 + 3q + -3q Combine like terms: 3q + -3q = 0 -1 = -7 + 0 -1 = -7 Solving -1 = -7 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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