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Simplifying 10 + -1(5 + -2w) + 2(w + -4) = 0 10 + (5 * -1 + -2w * -1) + 2(w + -4) = 0 10 + (-5 + 2w) + 2(w + -4) = 0 Reorder the terms: 10 + -5 + 2w + 2(-4 + w) = 0 10 + -5 + 2w + (-4 * 2 + w * 2) = 0 10 + -5 + 2w + (-8 + 2w) = 0 Reorder the terms: 10 + -5 + -8 + 2w + 2w = 0 Combine like terms: 10 + -5 = 5 5 + -8 + 2w + 2w = 0 Combine like terms: 5 + -8 = -3 -3 + 2w + 2w = 0 Combine like terms: 2w + 2w = 4w -3 + 4w = 0 Solving -3 + 4w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 4w = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4w = 0 + 3 4w = 0 + 3 Combine like terms: 0 + 3 = 3 4w = 3 Divide each side by '4'. w = 0.75 Simplifying w = 0.75
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