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Simplifying 4w + 7 = 37 + -2w Reorder the terms: 7 + 4w = 37 + -2w Solving 7 + 4w = 37 + -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. 7 + 4w + 2w = 37 + -2w + 2w Combine like terms: 4w + 2w = 6w 7 + 6w = 37 + -2w + 2w Combine like terms: -2w + 2w = 0 7 + 6w = 37 + 0 7 + 6w = 37 Add '-7' to each side of the equation. 7 + -7 + 6w = 37 + -7 Combine like terms: 7 + -7 = 0 0 + 6w = 37 + -7 6w = 37 + -7 Combine like terms: 37 + -7 = 30 6w = 30 Divide each side by '6'. w = 5 Simplifying w = 5
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