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Simplifying 8(w + 5) = 7w + -2 Reorder the terms: 8(5 + w) = 7w + -2 (5 * 8 + w * 8) = 7w + -2 (40 + 8w) = 7w + -2 Reorder the terms: 40 + 8w = -2 + 7w Solving 40 + 8w = -2 + 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. 40 + 8w + -7w = -2 + 7w + -7w Combine like terms: 8w + -7w = 1w 40 + 1w = -2 + 7w + -7w Combine like terms: 7w + -7w = 0 40 + 1w = -2 + 0 40 + 1w = -2 Add '-40' to each side of the equation. 40 + -40 + 1w = -2 + -40 Combine like terms: 40 + -40 = 0 0 + 1w = -2 + -40 1w = -2 + -40 Combine like terms: -2 + -40 = -42 1w = -42 Divide each side by '1'. w = -42 Simplifying w = -42
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