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Simplifying 8(w + 3) = 8 + 7w Reorder the terms: 8(3 + w) = 8 + 7w (3 * 8 + w * 8) = 8 + 7w (24 + 8w) = 8 + 7w Solving 24 + 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. 24 + 8w + -7w = 8 + 7w + -7w Combine like terms: 8w + -7w = 1w 24 + 1w = 8 + 7w + -7w Combine like terms: 7w + -7w = 0 24 + 1w = 8 + 0 24 + 1w = 8 Add '-24' to each side of the equation. 24 + -24 + 1w = 8 + -24 Combine like terms: 24 + -24 = 0 0 + 1w = 8 + -24 1w = 8 + -24 Combine like terms: 8 + -24 = -16 1w = -16 Divide each side by '1'. w = -16 Simplifying w = -16
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