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Simplifying 6(w + 9) = 1 + 5w Reorder the terms: 6(9 + w) = 1 + 5w (9 * 6 + w * 6) = 1 + 5w (54 + 6w) = 1 + 5w Solving 54 + 6w = 1 + 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 = 1 + 5w + -5w Combine like terms: 6w + -5w = 1w 54 + 1w = 1 + 5w + -5w Combine like terms: 5w + -5w = 0 54 + 1w = 1 + 0 54 + 1w = 1 Add '-54' to each side of the equation. 54 + -54 + 1w = 1 + -54 Combine like terms: 54 + -54 = 0 0 + 1w = 1 + -54 1w = 1 + -54 Combine like terms: 1 + -54 = -53 1w = -53 Divide each side by '1'. w = -53 Simplifying w = -53
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