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Simplifying 6(4 + -1w) = 6w + 24 (4 * 6 + -1w * 6) = 6w + 24 (24 + -6w) = 6w + 24 Reorder the terms: 24 + -6w = 24 + 6w Add '-24' to each side of the equation. 24 + -24 + -6w = 24 + -24 + 6w Combine like terms: 24 + -24 = 0 0 + -6w = 24 + -24 + 6w -6w = 24 + -24 + 6w Combine like terms: 24 + -24 = 0 -6w = 0 + 6w -6w = 6w Solving -6w = 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. -6w + -6w = 6w + -6w Combine like terms: -6w + -6w = -12w -12w = 6w + -6w Combine like terms: 6w + -6w = 0 -12w = 0 Divide each side by '-12'. w = 0 Simplifying w = 0
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