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Simplifying -2w + 6(w + 8) = 20 Reorder the terms: -2w + 6(8 + w) = 20 -2w + (8 * 6 + w * 6) = 20 -2w + (48 + 6w) = 20 Reorder the terms: 48 + -2w + 6w = 20 Combine like terms: -2w + 6w = 4w 48 + 4w = 20 Solving 48 + 4w = 20 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 + 4w = 20 + -48 Combine like terms: 48 + -48 = 0 0 + 4w = 20 + -48 4w = 20 + -48 Combine like terms: 20 + -48 = -28 4w = -28 Divide each side by '4'. w = -7 Simplifying w = -7
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