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Simplifying -36 = -4w + 8(w + -4) Reorder the terms: -36 = -4w + 8(-4 + w) -36 = -4w + (-4 * 8 + w * 8) -36 = -4w + (-32 + 8w) Reorder the terms: -36 = -32 + -4w + 8w Combine like terms: -4w + 8w = 4w -36 = -32 + 4w Solving -36 = -32 + 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. -36 + -4w = -32 + 4w + -4w Combine like terms: 4w + -4w = 0 -36 + -4w = -32 + 0 -36 + -4w = -32 Add '36' to each side of the equation. -36 + 36 + -4w = -32 + 36 Combine like terms: -36 + 36 = 0 0 + -4w = -32 + 36 -4w = -32 + 36 Combine like terms: -32 + 36 = 4 -4w = 4 Divide each side by '-4'. w = -1 Simplifying w = -1
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