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Simplifying 4(6 + -1w) = 3(2w + 2) (6 * 4 + -1w * 4) = 3(2w + 2) (24 + -4w) = 3(2w + 2) Reorder the terms: 24 + -4w = 3(2 + 2w) 24 + -4w = (2 * 3 + 2w * 3) 24 + -4w = (6 + 6w) Solving 24 + -4w = 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. 24 + -4w + -6w = 6 + 6w + -6w Combine like terms: -4w + -6w = -10w 24 + -10w = 6 + 6w + -6w Combine like terms: 6w + -6w = 0 24 + -10w = 6 + 0 24 + -10w = 6 Add '-24' to each side of the equation. 24 + -24 + -10w = 6 + -24 Combine like terms: 24 + -24 = 0 0 + -10w = 6 + -24 -10w = 6 + -24 Combine like terms: 6 + -24 = -18 -10w = -18 Divide each side by '-10'. w = 1.8 Simplifying w = 1.8
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