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Simplifying 2(7w + -1) + 5w = w + 3(4w + 3) + 2(3w + -9) Reorder the terms: 2(-1 + 7w) + 5w = w + 3(4w + 3) + 2(3w + -9) (-1 * 2 + 7w * 2) + 5w = w + 3(4w + 3) + 2(3w + -9) (-2 + 14w) + 5w = w + 3(4w + 3) + 2(3w + -9) Combine like terms: 14w + 5w = 19w -2 + 19w = w + 3(4w + 3) + 2(3w + -9) Reorder the terms: -2 + 19w = w + 3(3 + 4w) + 2(3w + -9) -2 + 19w = w + (3 * 3 + 4w * 3) + 2(3w + -9) -2 + 19w = w + (9 + 12w) + 2(3w + -9) Reorder the terms: -2 + 19w = w + 9 + 12w + 2(-9 + 3w) -2 + 19w = w + 9 + 12w + (-9 * 2 + 3w * 2) -2 + 19w = w + 9 + 12w + (-18 + 6w) Reorder the terms: -2 + 19w = 9 + -18 + w + 12w + 6w Combine like terms: 9 + -18 = -9 -2 + 19w = -9 + w + 12w + 6w Combine like terms: w + 12w = 13w -2 + 19w = -9 + 13w + 6w Combine like terms: 13w + 6w = 19w -2 + 19w = -9 + 19w Add '-19w' to each side of the equation. -2 + 19w + -19w = -9 + 19w + -19w Combine like terms: 19w + -19w = 0 -2 + 0 = -9 + 19w + -19w -2 = -9 + 19w + -19w Combine like terms: 19w + -19w = 0 -2 = -9 + 0 -2 = -9 Solving -2 = -9 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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