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Simplifying 52w + -7 = 6w + 13 Reorder the terms: -7 + 52w = 6w + 13 Reorder the terms: -7 + 52w = 13 + 6w Solving -7 + 52w = 13 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -7 + 52w + -6w = 13 + 6w + -6w Combine like terms: 52w + -6w = 46w -7 + 46w = 13 + 6w + -6w Combine like terms: 6w + -6w = 0 -7 + 46w = 13 + 0 -7 + 46w = 13 Add '7' to each side of the equation. -7 + 7 + 46w = 13 + 7 Combine like terms: -7 + 7 = 0 0 + 46w = 13 + 7 46w = 13 + 7 Combine like terms: 13 + 7 = 20 46w = 20 Divide each side by '46'. w = 0.4347826087 Simplifying w = 0.4347826087
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