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Simplifying -2w + -20 = 2(w + 4) Reorder the terms: -20 + -2w = 2(w + 4) Reorder the terms: -20 + -2w = 2(4 + w) -20 + -2w = (4 * 2 + w * 2) -20 + -2w = (8 + 2w) Solving -20 + -2w = 8 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -20 + -2w + -2w = 8 + 2w + -2w Combine like terms: -2w + -2w = -4w -20 + -4w = 8 + 2w + -2w Combine like terms: 2w + -2w = 0 -20 + -4w = 8 + 0 -20 + -4w = 8 Add '20' to each side of the equation. -20 + 20 + -4w = 8 + 20 Combine like terms: -20 + 20 = 0 0 + -4w = 8 + 20 -4w = 8 + 20 Combine like terms: 8 + 20 = 28 -4w = 28 Divide each side by '-4'. w = -7 Simplifying w = -7
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