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Simplifying 8(w + 1) = 3w + -7 Reorder the terms: 8(1 + w) = 3w + -7 (1 * 8 + w * 8) = 3w + -7 (8 + 8w) = 3w + -7 Reorder the terms: 8 + 8w = -7 + 3w Solving 8 + 8w = -7 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 8 + 8w + -3w = -7 + 3w + -3w Combine like terms: 8w + -3w = 5w 8 + 5w = -7 + 3w + -3w Combine like terms: 3w + -3w = 0 8 + 5w = -7 + 0 8 + 5w = -7 Add '-8' to each side of the equation. 8 + -8 + 5w = -7 + -8 Combine like terms: 8 + -8 = 0 0 + 5w = -7 + -8 5w = -7 + -8 Combine like terms: -7 + -8 = -15 5w = -15 Divide each side by '5'. w = -3 Simplifying w = -3
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