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Simplifying 6w + 26 = 22 + 7w Reorder the terms: 26 + 6w = 22 + 7w Solving 26 + 6w = 22 + 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 + 6w + -7w = 22 + 7w + -7w Combine like terms: 6w + -7w = -1w 26 + -1w = 22 + 7w + -7w Combine like terms: 7w + -7w = 0 26 + -1w = 22 + 0 26 + -1w = 22 Add '-26' to each side of the equation. 26 + -26 + -1w = 22 + -26 Combine like terms: 26 + -26 = 0 0 + -1w = 22 + -26 -1w = 22 + -26 Combine like terms: 22 + -26 = -4 -1w = -4 Divide each side by '-1'. w = 4 Simplifying w = 4
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