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Simplifying 10w + -1 = 12 + 5(w + 5) Reorder the terms: -1 + 10w = 12 + 5(w + 5) Reorder the terms: -1 + 10w = 12 + 5(5 + w) -1 + 10w = 12 + (5 * 5 + w * 5) -1 + 10w = 12 + (25 + 5w) Combine like terms: 12 + 25 = 37 -1 + 10w = 37 + 5w Solving -1 + 10w = 37 + 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 + 10w + -5w = 37 + 5w + -5w Combine like terms: 10w + -5w = 5w -1 + 5w = 37 + 5w + -5w Combine like terms: 5w + -5w = 0 -1 + 5w = 37 + 0 -1 + 5w = 37 Add '1' to each side of the equation. -1 + 1 + 5w = 37 + 1 Combine like terms: -1 + 1 = 0 0 + 5w = 37 + 1 5w = 37 + 1 Combine like terms: 37 + 1 = 38 5w = 38 Divide each side by '5'. w = 7.6 Simplifying w = 7.6
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