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Simplifying 6(w + 2) + 4 = 2w + 4 Reorder the terms: 6(2 + w) + 4 = 2w + 4 (2 * 6 + w * 6) + 4 = 2w + 4 (12 + 6w) + 4 = 2w + 4 Reorder the terms: 12 + 4 + 6w = 2w + 4 Combine like terms: 12 + 4 = 16 16 + 6w = 2w + 4 Reorder the terms: 16 + 6w = 4 + 2w Solving 16 + 6w = 4 + 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. 16 + 6w + -2w = 4 + 2w + -2w Combine like terms: 6w + -2w = 4w 16 + 4w = 4 + 2w + -2w Combine like terms: 2w + -2w = 0 16 + 4w = 4 + 0 16 + 4w = 4 Add '-16' to each side of the equation. 16 + -16 + 4w = 4 + -16 Combine like terms: 16 + -16 = 0 0 + 4w = 4 + -16 4w = 4 + -16 Combine like terms: 4 + -16 = -12 4w = -12 Divide each side by '4'. w = -3 Simplifying w = -3
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