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Simplifying 6(W + -4) + -3 = -5(-5W + 7) + -1W Reorder the terms: 6(-4 + W) + -3 = -5(-5W + 7) + -1W (-4 * 6 + W * 6) + -3 = -5(-5W + 7) + -1W (-24 + 6W) + -3 = -5(-5W + 7) + -1W Reorder the terms: -24 + -3 + 6W = -5(-5W + 7) + -1W Combine like terms: -24 + -3 = -27 -27 + 6W = -5(-5W + 7) + -1W Reorder the terms: -27 + 6W = -5(7 + -5W) + -1W -27 + 6W = (7 * -5 + -5W * -5) + -1W -27 + 6W = (-35 + 25W) + -1W Combine like terms: 25W + -1W = 24W -27 + 6W = -35 + 24W Solving -27 + 6W = -35 + 24W Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '-24W' to each side of the equation. -27 + 6W + -24W = -35 + 24W + -24W Combine like terms: 6W + -24W = -18W -27 + -18W = -35 + 24W + -24W Combine like terms: 24W + -24W = 0 -27 + -18W = -35 + 0 -27 + -18W = -35 Add '27' to each side of the equation. -27 + 27 + -18W = -35 + 27 Combine like terms: -27 + 27 = 0 0 + -18W = -35 + 27 -18W = -35 + 27 Combine like terms: -35 + 27 = -8 -18W = -8 Divide each side by '-18'. W = 0.4444444444 Simplifying W = 0.4444444444
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