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Simplifying 3w + -5(w + -6) = 2(10 + -1w) Reorder the terms: 3w + -5(-6 + w) = 2(10 + -1w) 3w + (-6 * -5 + w * -5) = 2(10 + -1w) 3w + (30 + -5w) = 2(10 + -1w) Reorder the terms: 30 + 3w + -5w = 2(10 + -1w) Combine like terms: 3w + -5w = -2w 30 + -2w = 2(10 + -1w) 30 + -2w = (10 * 2 + -1w * 2) 30 + -2w = (20 + -2w) Add '2w' to each side of the equation. 30 + -2w + 2w = 20 + -2w + 2w Combine like terms: -2w + 2w = 0 30 + 0 = 20 + -2w + 2w 30 = 20 + -2w + 2w Combine like terms: -2w + 2w = 0 30 = 20 + 0 30 = 20 Solving 30 = 20 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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