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Simplifying 6(w + -2) = 2w + 2(w + 1) Reorder the terms: 6(-2 + w) = 2w + 2(w + 1) (-2 * 6 + w * 6) = 2w + 2(w + 1) (-12 + 6w) = 2w + 2(w + 1) Reorder the terms: -12 + 6w = 2w + 2(1 + w) -12 + 6w = 2w + (1 * 2 + w * 2) -12 + 6w = 2w + (2 + 2w) Reorder the terms: -12 + 6w = 2 + 2w + 2w Combine like terms: 2w + 2w = 4w -12 + 6w = 2 + 4w Solving -12 + 6w = 2 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -12 + 6w + -4w = 2 + 4w + -4w Combine like terms: 6w + -4w = 2w -12 + 2w = 2 + 4w + -4w Combine like terms: 4w + -4w = 0 -12 + 2w = 2 + 0 -12 + 2w = 2 Add '12' to each side of the equation. -12 + 12 + 2w = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 2w = 2 + 12 2w = 2 + 12 Combine like terms: 2 + 12 = 14 2w = 14 Divide each side by '2'. w = 7 Simplifying w = 7
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