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Simplifying 5w + 37 = 2w + 24 Reorder the terms: 37 + 5w = 2w + 24 Reorder the terms: 37 + 5w = 24 + 2w Solving 37 + 5w = 24 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 37 + 5w + -2w = 24 + 2w + -2w Combine like terms: 5w + -2w = 3w 37 + 3w = 24 + 2w + -2w Combine like terms: 2w + -2w = 0 37 + 3w = 24 + 0 37 + 3w = 24 Add '-37' to each side of the equation. 37 + -37 + 3w = 24 + -37 Combine like terms: 37 + -37 = 0 0 + 3w = 24 + -37 3w = 24 + -37 Combine like terms: 24 + -37 = -13 3w = -13 Divide each side by '3'. w = -4.333333333 Simplifying w = -4.333333333
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