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