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Simplifying 5w + 38 = 10w + 13 Reorder the terms: 38 + 5w = 10w + 13 Reorder the terms: 38 + 5w = 13 + 10w Solving 38 + 5w = 13 + 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. 38 + 5w + -10w = 13 + 10w + -10w Combine like terms: 5w + -10w = -5w 38 + -5w = 13 + 10w + -10w Combine like terms: 10w + -10w = 0 38 + -5w = 13 + 0 38 + -5w = 13 Add '-38' to each side of the equation. 38 + -38 + -5w = 13 + -38 Combine like terms: 38 + -38 = 0 0 + -5w = 13 + -38 -5w = 13 + -38 Combine like terms: 13 + -38 = -25 -5w = -25 Divide each side by '-5'. w = 5 Simplifying w = 5
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