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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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