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Simplifying 3(2w + -3) + 17 + w = 9w + -2(w + -8) Reorder the terms: 3(-3 + 2w) + 17 + w = 9w + -2(w + -8) (-3 * 3 + 2w * 3) + 17 + w = 9w + -2(w + -8) (-9 + 6w) + 17 + w = 9w + -2(w + -8) Reorder the terms: -9 + 17 + 6w + w = 9w + -2(w + -8) Combine like terms: -9 + 17 = 8 8 + 6w + w = 9w + -2(w + -8) Combine like terms: 6w + w = 7w 8 + 7w = 9w + -2(w + -8) Reorder the terms: 8 + 7w = 9w + -2(-8 + w) 8 + 7w = 9w + (-8 * -2 + w * -2) 8 + 7w = 9w + (16 + -2w) Reorder the terms: 8 + 7w = 16 + 9w + -2w Combine like terms: 9w + -2w = 7w 8 + 7w = 16 + 7w Add '-7w' to each side of the equation. 8 + 7w + -7w = 16 + 7w + -7w Combine like terms: 7w + -7w = 0 8 + 0 = 16 + 7w + -7w 8 = 16 + 7w + -7w Combine like terms: 7w + -7w = 0 8 = 16 + 0 8 = 16 Solving 8 = 16 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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