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Simplifying 2(4w + 14) = 10w + -2(w + -7) Reorder the terms: 2(14 + 4w) = 10w + -2(w + -7) (14 * 2 + 4w * 2) = 10w + -2(w + -7) (28 + 8w) = 10w + -2(w + -7) Reorder the terms: 28 + 8w = 10w + -2(-7 + w) 28 + 8w = 10w + (-7 * -2 + w * -2) 28 + 8w = 10w + (14 + -2w) Reorder the terms: 28 + 8w = 14 + 10w + -2w Combine like terms: 10w + -2w = 8w 28 + 8w = 14 + 8w Add '-8w' to each side of the equation. 28 + 8w + -8w = 14 + 8w + -8w Combine like terms: 8w + -8w = 0 28 + 0 = 14 + 8w + -8w 28 = 14 + 8w + -8w Combine like terms: 8w + -8w = 0 28 = 14 + 0 28 = 14 Solving 28 = 14 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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