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Simplifying 8(w + 6) + 2w = -12 Reorder the terms: 8(6 + w) + 2w = -12 (6 * 8 + w * 8) + 2w = -12 (48 + 8w) + 2w = -12 Combine like terms: 8w + 2w = 10w 48 + 10w = -12 Solving 48 + 10w = -12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 10w = -12 + -48 Combine like terms: 48 + -48 = 0 0 + 10w = -12 + -48 10w = -12 + -48 Combine like terms: -12 + -48 = -60 10w = -60 Divide each side by '10'. w = -6 Simplifying w = -6
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