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Simplifying 5(w + -3) + 2(w + 3) + -22 = 7(w + 8) + -12 Reorder the terms: 5(-3 + w) + 2(w + 3) + -22 = 7(w + 8) + -12 (-3 * 5 + w * 5) + 2(w + 3) + -22 = 7(w + 8) + -12 (-15 + 5w) + 2(w + 3) + -22 = 7(w + 8) + -12 Reorder the terms: -15 + 5w + 2(3 + w) + -22 = 7(w + 8) + -12 -15 + 5w + (3 * 2 + w * 2) + -22 = 7(w + 8) + -12 -15 + 5w + (6 + 2w) + -22 = 7(w + 8) + -12 Reorder the terms: -15 + 6 + -22 + 5w + 2w = 7(w + 8) + -12 Combine like terms: -15 + 6 = -9 -9 + -22 + 5w + 2w = 7(w + 8) + -12 Combine like terms: -9 + -22 = -31 -31 + 5w + 2w = 7(w + 8) + -12 Combine like terms: 5w + 2w = 7w -31 + 7w = 7(w + 8) + -12 Reorder the terms: -31 + 7w = 7(8 + w) + -12 -31 + 7w = (8 * 7 + w * 7) + -12 -31 + 7w = (56 + 7w) + -12 Reorder the terms: -31 + 7w = 56 + -12 + 7w Combine like terms: 56 + -12 = 44 -31 + 7w = 44 + 7w Add '-7w' to each side of the equation. -31 + 7w + -7w = 44 + 7w + -7w Combine like terms: 7w + -7w = 0 -31 + 0 = 44 + 7w + -7w -31 = 44 + 7w + -7w Combine like terms: 7w + -7w = 0 -31 = 44 + 0 -31 = 44 Solving -31 = 44 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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