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Simplifying 2(w + 1) + 4w = 3(2w + -1) + 8 Reorder the terms: 2(1 + w) + 4w = 3(2w + -1) + 8 (1 * 2 + w * 2) + 4w = 3(2w + -1) + 8 (2 + 2w) + 4w = 3(2w + -1) + 8 Combine like terms: 2w + 4w = 6w 2 + 6w = 3(2w + -1) + 8 Reorder the terms: 2 + 6w = 3(-1 + 2w) + 8 2 + 6w = (-1 * 3 + 2w * 3) + 8 2 + 6w = (-3 + 6w) + 8 Reorder the terms: 2 + 6w = -3 + 8 + 6w Combine like terms: -3 + 8 = 5 2 + 6w = 5 + 6w Add '-6w' to each side of the equation. 2 + 6w + -6w = 5 + 6w + -6w Combine like terms: 6w + -6w = 0 2 + 0 = 5 + 6w + -6w 2 = 5 + 6w + -6w Combine like terms: 6w + -6w = 0 2 = 5 + 0 2 = 5 Solving 2 = 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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