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Simplifying 5(w + -2) + (6 + -1w) = 3w + (w + -3) + 20 Reorder the terms: 5(-2 + w) + (6 + -1w) = 3w + (w + -3) + 20 (-2 * 5 + w * 5) + (6 + -1w) = 3w + (w + -3) + 20 (-10 + 5w) + (6 + -1w) = 3w + (w + -3) + 20 Remove parenthesis around (6 + -1w) -10 + 5w + 6 + -1w = 3w + (w + -3) + 20 Reorder the terms: -10 + 6 + 5w + -1w = 3w + (w + -3) + 20 Combine like terms: -10 + 6 = -4 -4 + 5w + -1w = 3w + (w + -3) + 20 Combine like terms: 5w + -1w = 4w -4 + 4w = 3w + (w + -3) + 20 Reorder the terms: -4 + 4w = 3w + (-3 + w) + 20 Remove parenthesis around (-3 + w) -4 + 4w = 3w + -3 + w + 20 Reorder the terms: -4 + 4w = -3 + 20 + 3w + w Combine like terms: -3 + 20 = 17 -4 + 4w = 17 + 3w + w Combine like terms: 3w + w = 4w -4 + 4w = 17 + 4w Add '-4w' to each side of the equation. -4 + 4w + -4w = 17 + 4w + -4w Combine like terms: 4w + -4w = 0 -4 + 0 = 17 + 4w + -4w -4 = 17 + 4w + -4w Combine like terms: 4w + -4w = 0 -4 = 17 + 0 -4 = 17 Solving -4 = 17 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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