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Simplifying -32 = 2w + 4(w + 4) Reorder the terms: -32 = 2w + 4(4 + w) -32 = 2w + (4 * 4 + w * 4) -32 = 2w + (16 + 4w) Reorder the terms: -32 = 16 + 2w + 4w Combine like terms: 2w + 4w = 6w -32 = 16 + 6w Solving -32 = 16 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -32 + -6w = 16 + 6w + -6w Combine like terms: 6w + -6w = 0 -32 + -6w = 16 + 0 -32 + -6w = 16 Add '32' to each side of the equation. -32 + 32 + -6w = 16 + 32 Combine like terms: -32 + 32 = 0 0 + -6w = 16 + 32 -6w = 16 + 32 Combine like terms: 16 + 32 = 48 -6w = 48 Divide each side by '-6'. w = -8 Simplifying w = -8
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