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Simplifying 4(w + 2) + -8(w + 5) = 0 Reorder the terms: 4(2 + w) + -8(w + 5) = 0 (2 * 4 + w * 4) + -8(w + 5) = 0 (8 + 4w) + -8(w + 5) = 0 Reorder the terms: 8 + 4w + -8(5 + w) = 0 8 + 4w + (5 * -8 + w * -8) = 0 8 + 4w + (-40 + -8w) = 0 Reorder the terms: 8 + -40 + 4w + -8w = 0 Combine like terms: 8 + -40 = -32 -32 + 4w + -8w = 0 Combine like terms: 4w + -8w = -4w -32 + -4w = 0 Solving -32 + -4w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -4w = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -4w = 0 + 32 -4w = 0 + 32 Combine like terms: 0 + 32 = 32 -4w = 32 Divide each side by '-4'. w = -8 Simplifying w = -8
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