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Simplifying 71 = 6w + 5 Reorder the terms: 71 = 5 + 6w Solving 71 = 5 + 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. 71 + -6w = 5 + 6w + -6w Combine like terms: 6w + -6w = 0 71 + -6w = 5 + 0 71 + -6w = 5 Add '-71' to each side of the equation. 71 + -71 + -6w = 5 + -71 Combine like terms: 71 + -71 = 0 0 + -6w = 5 + -71 -6w = 5 + -71 Combine like terms: 5 + -71 = -66 -6w = -66 Divide each side by '-6'. w = 11 Simplifying w = 11
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