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Simplifying 8(w + 4) = 8 + 7w Reorder the terms: 8(4 + w) = 8 + 7w (4 * 8 + w * 8) = 8 + 7w (32 + 8w) = 8 + 7w Solving 32 + 8w = 8 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 32 + 8w + -7w = 8 + 7w + -7w Combine like terms: 8w + -7w = 1w 32 + 1w = 8 + 7w + -7w Combine like terms: 7w + -7w = 0 32 + 1w = 8 + 0 32 + 1w = 8 Add '-32' to each side of the equation. 32 + -32 + 1w = 8 + -32 Combine like terms: 32 + -32 = 0 0 + 1w = 8 + -32 1w = 8 + -32 Combine like terms: 8 + -32 = -24 1w = -24 Divide each side by '1'. w = -24 Simplifying w = -24
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