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Simplifying 2w + 8(w + -6) = 32 Reorder the terms: 2w + 8(-6 + w) = 32 2w + (-6 * 8 + w * 8) = 32 2w + (-48 + 8w) = 32 Reorder the terms: -48 + 2w + 8w = 32 Combine like terms: 2w + 8w = 10w -48 + 10w = 32 Solving -48 + 10w = 32 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 = 32 + 48 Combine like terms: -48 + 48 = 0 0 + 10w = 32 + 48 10w = 32 + 48 Combine like terms: 32 + 48 = 80 10w = 80 Divide each side by '10'. w = 8 Simplifying w = 8
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