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Simplifying 6(w + 3) + -2(w + -5) = 6w + 18 + -2w + -10 Reorder the terms: 6(3 + w) + -2(w + -5) = 6w + 18 + -2w + -10 (3 * 6 + w * 6) + -2(w + -5) = 6w + 18 + -2w + -10 (18 + 6w) + -2(w + -5) = 6w + 18 + -2w + -10 Reorder the terms: 18 + 6w + -2(-5 + w) = 6w + 18 + -2w + -10 18 + 6w + (-5 * -2 + w * -2) = 6w + 18 + -2w + -10 18 + 6w + (10 + -2w) = 6w + 18 + -2w + -10 Reorder the terms: 18 + 10 + 6w + -2w = 6w + 18 + -2w + -10 Combine like terms: 18 + 10 = 28 28 + 6w + -2w = 6w + 18 + -2w + -10 Combine like terms: 6w + -2w = 4w 28 + 4w = 6w + 18 + -2w + -10 Reorder the terms: 28 + 4w = 18 + -10 + 6w + -2w Combine like terms: 18 + -10 = 8 28 + 4w = 8 + 6w + -2w Combine like terms: 6w + -2w = 4w 28 + 4w = 8 + 4w Add '-4w' to each side of the equation. 28 + 4w + -4w = 8 + 4w + -4w Combine like terms: 4w + -4w = 0 28 + 0 = 8 + 4w + -4w 28 = 8 + 4w + -4w Combine like terms: 4w + -4w = 0 28 = 8 + 0 28 = 8 Solving 28 = 8 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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