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