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Simplifying 4 + -1(4 + -1w) = 3(2w + 2) 4 + (4 * -1 + -1w * -1) = 3(2w + 2) 4 + (-4 + 1w) = 3(2w + 2) Combine like terms: 4 + -4 = 0 0 + 1w = 3(2w + 2) 1w = 3(2w + 2) Reorder the terms: 1w = 3(2 + 2w) 1w = (2 * 3 + 2w * 3) 1w = (6 + 6w) Solving 1w = 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. 1w + -6w = 6 + 6w + -6w Combine like terms: 1w + -6w = -5w -5w = 6 + 6w + -6w Combine like terms: 6w + -6w = 0 -5w = 6 + 0 -5w = 6 Divide each side by '-5'. w = -1.2 Simplifying w = -1.2
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