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Simplifying 26 + w = 7w + 2 Reorder the terms: 26 + w = 2 + 7w Solving 26 + w = 2 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 26 + w + -7w = 2 + 7w + -7w Combine like terms: w + -7w = -6w 26 + -6w = 2 + 7w + -7w Combine like terms: 7w + -7w = 0 26 + -6w = 2 + 0 26 + -6w = 2 Add '-26' to each side of the equation. 26 + -26 + -6w = 2 + -26 Combine like terms: 26 + -26 = 0 0 + -6w = 2 + -26 -6w = 2 + -26 Combine like terms: 2 + -26 = -24 -6w = -24 Divide each side by '-6'. w = 4 Simplifying w = 4
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