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Simplifying 6(w + -5) = 4 + 5w Reorder the terms: 6(-5 + w) = 4 + 5w (-5 * 6 + w * 6) = 4 + 5w (-30 + 6w) = 4 + 5w Solving -30 + 6w = 4 + 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. -30 + 6w + -5w = 4 + 5w + -5w Combine like terms: 6w + -5w = 1w -30 + 1w = 4 + 5w + -5w Combine like terms: 5w + -5w = 0 -30 + 1w = 4 + 0 -30 + 1w = 4 Add '30' to each side of the equation. -30 + 30 + 1w = 4 + 30 Combine like terms: -30 + 30 = 0 0 + 1w = 4 + 30 1w = 4 + 30 Combine like terms: 4 + 30 = 34 1w = 34 Divide each side by '1'. w = 34 Simplifying w = 34
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