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Simplifying 8 + -7(4 + -1w) = 10w + -1(3w + -5) 8 + (4 * -7 + -1w * -7) = 10w + -1(3w + -5) 8 + (-28 + 7w) = 10w + -1(3w + -5) Combine like terms: 8 + -28 = -20 -20 + 7w = 10w + -1(3w + -5) Reorder the terms: -20 + 7w = 10w + -1(-5 + 3w) -20 + 7w = 10w + (-5 * -1 + 3w * -1) -20 + 7w = 10w + (5 + -3w) Reorder the terms: -20 + 7w = 5 + 10w + -3w Combine like terms: 10w + -3w = 7w -20 + 7w = 5 + 7w Add '-7w' to each side of the equation. -20 + 7w + -7w = 5 + 7w + -7w Combine like terms: 7w + -7w = 0 -20 + 0 = 5 + 7w + -7w -20 = 5 + 7w + -7w Combine like terms: 7w + -7w = 0 -20 = 5 + 0 -20 = 5 Solving -20 = 5 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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