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Simplifying 37 = 2w + 9 Reorder the terms: 37 = 9 + 2w Solving 37 = 9 + 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 + -2w = 9 + 2w + -2w Combine like terms: 2w + -2w = 0 37 + -2w = 9 + 0 37 + -2w = 9 Add '-37' to each side of the equation. 37 + -37 + -2w = 9 + -37 Combine like terms: 37 + -37 = 0 0 + -2w = 9 + -37 -2w = 9 + -37 Combine like terms: 9 + -37 = -28 -2w = -28 Divide each side by '-2'. w = 14 Simplifying w = 14
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