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Simplifying 15w + 20 = 10w + -45 Reorder the terms: 20 + 15w = 10w + -45 Reorder the terms: 20 + 15w = -45 + 10w Solving 20 + 15w = -45 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 20 + 15w + -10w = -45 + 10w + -10w Combine like terms: 15w + -10w = 5w 20 + 5w = -45 + 10w + -10w Combine like terms: 10w + -10w = 0 20 + 5w = -45 + 0 20 + 5w = -45 Add '-20' to each side of the equation. 20 + -20 + 5w = -45 + -20 Combine like terms: 20 + -20 = 0 0 + 5w = -45 + -20 5w = -45 + -20 Combine like terms: -45 + -20 = -65 5w = -65 Divide each side by '5'. w = -13 Simplifying w = -13
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