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Simplifying -4w + -32 = 4(w + 4) Reorder the terms: -32 + -4w = 4(w + 4) Reorder the terms: -32 + -4w = 4(4 + w) -32 + -4w = (4 * 4 + w * 4) -32 + -4w = (16 + 4w) Solving -32 + -4w = 16 + 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 + -4w = 16 + 4w + -4w Combine like terms: -4w + -4w = -8w -32 + -8w = 16 + 4w + -4w Combine like terms: 4w + -4w = 0 -32 + -8w = 16 + 0 -32 + -8w = 16 Add '32' to each side of the equation. -32 + 32 + -8w = 16 + 32 Combine like terms: -32 + 32 = 0 0 + -8w = 16 + 32 -8w = 16 + 32 Combine like terms: 16 + 32 = 48 -8w = 48 Divide each side by '-8'. w = -6 Simplifying w = -6
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