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Simplifying (-1w + 5) + -1(-5w + 7) = 0 Reorder the terms: (5 + -1w) + -1(-5w + 7) = 0 Remove parenthesis around (5 + -1w) 5 + -1w + -1(-5w + 7) = 0 Reorder the terms: 5 + -1w + -1(7 + -5w) = 0 5 + -1w + (7 * -1 + -5w * -1) = 0 5 + -1w + (-7 + 5w) = 0 Reorder the terms: 5 + -7 + -1w + 5w = 0 Combine like terms: 5 + -7 = -2 -2 + -1w + 5w = 0 Combine like terms: -1w + 5w = 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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