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Simplifying 6w + -1 = 5(w + 9) Reorder the terms: -1 + 6w = 5(w + 9) Reorder the terms: -1 + 6w = 5(9 + w) -1 + 6w = (9 * 5 + w * 5) -1 + 6w = (45 + 5w) Solving -1 + 6w = 45 + 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. -1 + 6w + -5w = 45 + 5w + -5w Combine like terms: 6w + -5w = 1w -1 + 1w = 45 + 5w + -5w Combine like terms: 5w + -5w = 0 -1 + 1w = 45 + 0 -1 + 1w = 45 Add '1' to each side of the equation. -1 + 1 + 1w = 45 + 1 Combine like terms: -1 + 1 = 0 0 + 1w = 45 + 1 1w = 45 + 1 Combine like terms: 45 + 1 = 46 1w = 46 Divide each side by '1'. w = 46 Simplifying w = 46
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