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Simplifying 4(4w + -1w) = 3(2w + 2) Combine like terms: 4w + -1w = 3w 4(3w) = 3(2w + 2) Remove parenthesis around (3w) 4 * 3w = 3(2w + 2) Multiply 4 * 3 12w = 3(2w + 2) Reorder the terms: 12w = 3(2 + 2w) 12w = (2 * 3 + 2w * 3) 12w = (6 + 6w) Solving 12w = 6 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 12w + -6w = 6 + 6w + -6w Combine like terms: 12w + -6w = 6w 6w = 6 + 6w + -6w Combine like terms: 6w + -6w = 0 6w = 6 + 0 6w = 6 Divide each side by '6'. w = 1 Simplifying w = 1
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