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Simplifying 3w + 10 = 5w + 24 Reorder the terms: 10 + 3w = 5w + 24 Reorder the terms: 10 + 3w = 24 + 5w Solving 10 + 3w = 24 + 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. 10 + 3w + -5w = 24 + 5w + -5w Combine like terms: 3w + -5w = -2w 10 + -2w = 24 + 5w + -5w Combine like terms: 5w + -5w = 0 10 + -2w = 24 + 0 10 + -2w = 24 Add '-10' to each side of the equation. 10 + -10 + -2w = 24 + -10 Combine like terms: 10 + -10 = 0 0 + -2w = 24 + -10 -2w = 24 + -10 Combine like terms: 24 + -10 = 14 -2w = 14 Divide each side by '-2'. w = -7 Simplifying w = -7
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