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Simplifying 4(w + 2) = 6 + 3w Reorder the terms: 4(2 + w) = 6 + 3w (2 * 4 + w * 4) = 6 + 3w (8 + 4w) = 6 + 3w Solving 8 + 4w = 6 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 8 + 4w + -3w = 6 + 3w + -3w Combine like terms: 4w + -3w = 1w 8 + 1w = 6 + 3w + -3w Combine like terms: 3w + -3w = 0 8 + 1w = 6 + 0 8 + 1w = 6 Add '-8' to each side of the equation. 8 + -8 + 1w = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 1w = 6 + -8 1w = 6 + -8 Combine like terms: 6 + -8 = -2 1w = -2 Divide each side by '1'. w = -2 Simplifying w = -2
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