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Simplifying 6(w + 2) = 2w + 13 + 3w Reorder the terms: 6(2 + w) = 2w + 13 + 3w (2 * 6 + w * 6) = 2w + 13 + 3w (12 + 6w) = 2w + 13 + 3w Reorder the terms: 12 + 6w = 13 + 2w + 3w Combine like terms: 2w + 3w = 5w 12 + 6w = 13 + 5w Solving 12 + 6w = 13 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 12 + 6w + -5w = 13 + 5w + -5w Combine like terms: 6w + -5w = 1w 12 + 1w = 13 + 5w + -5w Combine like terms: 5w + -5w = 0 12 + 1w = 13 + 0 12 + 1w = 13 Add '-12' to each side of the equation. 12 + -12 + 1w = 13 + -12 Combine like terms: 12 + -12 = 0 0 + 1w = 13 + -12 1w = 13 + -12 Combine like terms: 13 + -12 = 1 1w = 1 Divide each side by '1'. w = 1 Simplifying w = 1
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