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Simplifying 8w + 32 = -8(w + 2) Reorder the terms: 32 + 8w = -8(w + 2) Reorder the terms: 32 + 8w = -8(2 + w) 32 + 8w = (2 * -8 + w * -8) 32 + 8w = (-16 + -8w) Solving 32 + 8w = -16 + -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. 32 + 8w + 8w = -16 + -8w + 8w Combine like terms: 8w + 8w = 16w 32 + 16w = -16 + -8w + 8w Combine like terms: -8w + 8w = 0 32 + 16w = -16 + 0 32 + 16w = -16 Add '-32' to each side of the equation. 32 + -32 + 16w = -16 + -32 Combine like terms: 32 + -32 = 0 0 + 16w = -16 + -32 16w = -16 + -32 Combine like terms: -16 + -32 = -48 16w = -48 Divide each side by '16'. w = -3 Simplifying w = -3
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