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Simplifying 6(w + -4) = 5w + -6 Reorder the terms: 6(-4 + w) = 5w + -6 (-4 * 6 + w * 6) = 5w + -6 (-24 + 6w) = 5w + -6 Reorder the terms: -24 + 6w = -6 + 5w Solving -24 + 6w = -6 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -24 + 6w + -5w = -6 + 5w + -5w Combine like terms: 6w + -5w = 1w -24 + 1w = -6 + 5w + -5w Combine like terms: 5w + -5w = 0 -24 + 1w = -6 + 0 -24 + 1w = -6 Add '24' to each side of the equation. -24 + 24 + 1w = -6 + 24 Combine like terms: -24 + 24 = 0 0 + 1w = -6 + 24 1w = -6 + 24 Combine like terms: -6 + 24 = 18 1w = 18 Divide each side by '1'. w = 18 Simplifying w = 18
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