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Simplifying 4w + -8 = 2(w + 3) Reorder the terms: -8 + 4w = 2(w + 3) Reorder the terms: -8 + 4w = 2(3 + w) -8 + 4w = (3 * 2 + w * 2) -8 + 4w = (6 + 2w) Solving -8 + 4w = 6 + 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. -8 + 4w + -2w = 6 + 2w + -2w Combine like terms: 4w + -2w = 2w -8 + 2w = 6 + 2w + -2w Combine like terms: 2w + -2w = 0 -8 + 2w = 6 + 0 -8 + 2w = 6 Add '8' to each side of the equation. -8 + 8 + 2w = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 2w = 6 + 8 2w = 6 + 8 Combine like terms: 6 + 8 = 14 2w = 14 Divide each side by '2'. w = 7 Simplifying w = 7
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