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Simplifying 8(w + 1) = -8w + -40 Reorder the terms: 8(1 + w) = -8w + -40 (1 * 8 + w * 8) = -8w + -40 (8 + 8w) = -8w + -40 Reorder the terms: 8 + 8w = -40 + -8w Solving 8 + 8w = -40 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. 8 + 8w + 8w = -40 + -8w + 8w Combine like terms: 8w + 8w = 16w 8 + 16w = -40 + -8w + 8w Combine like terms: -8w + 8w = 0 8 + 16w = -40 + 0 8 + 16w = -40 Add '-8' to each side of the equation. 8 + -8 + 16w = -40 + -8 Combine like terms: 8 + -8 = 0 0 + 16w = -40 + -8 16w = -40 + -8 Combine like terms: -40 + -8 = -48 16w = -48 Divide each side by '16'. w = -3 Simplifying w = -3
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