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Simplifying 2(2q + -5) + 2 = 7q + 3(4 + -1q) + -7 Reorder the terms: 2(-5 + 2q) + 2 = 7q + 3(4 + -1q) + -7 (-5 * 2 + 2q * 2) + 2 = 7q + 3(4 + -1q) + -7 (-10 + 4q) + 2 = 7q + 3(4 + -1q) + -7 Reorder the terms: -10 + 2 + 4q = 7q + 3(4 + -1q) + -7 Combine like terms: -10 + 2 = -8 -8 + 4q = 7q + 3(4 + -1q) + -7 -8 + 4q = 7q + (4 * 3 + -1q * 3) + -7 -8 + 4q = 7q + (12 + -3q) + -7 Reorder the terms: -8 + 4q = 12 + -7 + 7q + -3q Combine like terms: 12 + -7 = 5 -8 + 4q = 5 + 7q + -3q Combine like terms: 7q + -3q = 4q -8 + 4q = 5 + 4q Add '-4q' to each side of the equation. -8 + 4q + -4q = 5 + 4q + -4q Combine like terms: 4q + -4q = 0 -8 + 0 = 5 + 4q + -4q -8 = 5 + 4q + -4q Combine like terms: 4q + -4q = 0 -8 = 5 + 0 -8 = 5 Solving -8 = 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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