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