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Simplifying 5w + -2(5 + 4w) = 3 + w + -8 5w + (5 * -2 + 4w * -2) = 3 + w + -8 5w + (-10 + -8w) = 3 + w + -8 Reorder the terms: -10 + 5w + -8w = 3 + w + -8 Combine like terms: 5w + -8w = -3w -10 + -3w = 3 + w + -8 Reorder the terms: -10 + -3w = 3 + -8 + w Combine like terms: 3 + -8 = -5 -10 + -3w = -5 + w Solving -10 + -3w = -5 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -10 + -3w + -1w = -5 + w + -1w Combine like terms: -3w + -1w = -4w -10 + -4w = -5 + w + -1w Combine like terms: w + -1w = 0 -10 + -4w = -5 + 0 -10 + -4w = -5 Add '10' to each side of the equation. -10 + 10 + -4w = -5 + 10 Combine like terms: -10 + 10 = 0 0 + -4w = -5 + 10 -4w = -5 + 10 Combine like terms: -5 + 10 = 5 -4w = 5 Divide each side by '-4'. w = -1.25 Simplifying w = -1.25
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