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Simplifying 6(w + -9) = 5(5 + w) Reorder the terms: 6(-9 + w) = 5(5 + w) (-9 * 6 + w * 6) = 5(5 + w) (-54 + 6w) = 5(5 + w) -54 + 6w = (5 * 5 + w * 5) -54 + 6w = (25 + 5w) Solving -54 + 6w = 25 + 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. -54 + 6w + -5w = 25 + 5w + -5w Combine like terms: 6w + -5w = 1w -54 + 1w = 25 + 5w + -5w Combine like terms: 5w + -5w = 0 -54 + 1w = 25 + 0 -54 + 1w = 25 Add '54' to each side of the equation. -54 + 54 + 1w = 25 + 54 Combine like terms: -54 + 54 = 0 0 + 1w = 25 + 54 1w = 25 + 54 Combine like terms: 25 + 54 = 79 1w = 79 Divide each side by '1'. w = 79 Simplifying w = 79
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