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Simplifying 6(w + 4) + -1(3 + 3w) = 2w Reorder the terms: 6(4 + w) + -1(3 + 3w) = 2w (4 * 6 + w * 6) + -1(3 + 3w) = 2w (24 + 6w) + -1(3 + 3w) = 2w 24 + 6w + (3 * -1 + 3w * -1) = 2w 24 + 6w + (-3 + -3w) = 2w Reorder the terms: 24 + -3 + 6w + -3w = 2w Combine like terms: 24 + -3 = 21 21 + 6w + -3w = 2w Combine like terms: 6w + -3w = 3w 21 + 3w = 2w Solving 21 + 3w = 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. 21 + 3w + -2w = 2w + -2w Combine like terms: 3w + -2w = 1w 21 + 1w = 2w + -2w Combine like terms: 2w + -2w = 0 21 + 1w = 0 Add '-21' to each side of the equation. 21 + -21 + 1w = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 1w = 0 + -21 1w = 0 + -21 Combine like terms: 0 + -21 = -21 1w = -21 Divide each side by '1'. w = -21 Simplifying w = -21
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