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Simplifying 8w + 32 = 4(w + 1) Reorder the terms: 32 + 8w = 4(w + 1) Reorder the terms: 32 + 8w = 4(1 + w) 32 + 8w = (1 * 4 + w * 4) 32 + 8w = (4 + 4w) Solving 32 + 8w = 4 + 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 = 4 + 4w + -4w Combine like terms: 8w + -4w = 4w 32 + 4w = 4 + 4w + -4w Combine like terms: 4w + -4w = 0 32 + 4w = 4 + 0 32 + 4w = 4 Add '-32' to each side of the equation. 32 + -32 + 4w = 4 + -32 Combine like terms: 32 + -32 = 0 0 + 4w = 4 + -32 4w = 4 + -32 Combine like terms: 4 + -32 = -28 4w = -28 Divide each side by '4'. w = -7 Simplifying w = -7
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