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Simplifying -2(5y + w) + -5(4w + 5y) = 0 Reorder the terms: -2(w + 5y) + -5(4w + 5y) = 0 (w * -2 + 5y * -2) + -5(4w + 5y) = 0 (-2w + -10y) + -5(4w + 5y) = 0 -2w + -10y + (4w * -5 + 5y * -5) = 0 -2w + -10y + (-20w + -25y) = 0 Reorder the terms: -2w + -20w + -10y + -25y = 0 Combine like terms: -2w + -20w = -22w -22w + -10y + -25y = 0 Combine like terms: -10y + -25y = -35y -22w + -35y = 0 Solving -22w + -35y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '35y' to each side of the equation. -22w + -35y + 35y = 0 + 35y Combine like terms: -35y + 35y = 0 -22w + 0 = 0 + 35y -22w = 0 + 35y Remove the zero: -22w = 35y Divide each side by '-22'. w = -1.590909091y Simplifying w = -1.590909091y
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