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Simplifying (5w + -3) + -1(w + -1) = 0 Reorder the terms: (-3 + 5w) + -1(w + -1) = 0 Remove parenthesis around (-3 + 5w) -3 + 5w + -1(w + -1) = 0 Reorder the terms: -3 + 5w + -1(-1 + w) = 0 -3 + 5w + (-1 * -1 + w * -1) = 0 -3 + 5w + (1 + -1w) = 0 Reorder the terms: -3 + 1 + 5w + -1w = 0 Combine like terms: -3 + 1 = -2 -2 + 5w + -1w = 0 Combine like terms: 5w + -1w = 4w -2 + 4w = 0 Solving -2 + 4w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 4w = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 4w = 0 + 2 4w = 0 + 2 Combine like terms: 0 + 2 = 2 4w = 2 Divide each side by '4'. w = 0.5 Simplifying w = 0.5
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