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Simplifying 6w + 5 = 3w + 17 Reorder the terms: 5 + 6w = 3w + 17 Reorder the terms: 5 + 6w = 17 + 3w Solving 5 + 6w = 17 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 5 + 6w + -3w = 17 + 3w + -3w Combine like terms: 6w + -3w = 3w 5 + 3w = 17 + 3w + -3w Combine like terms: 3w + -3w = 0 5 + 3w = 17 + 0 5 + 3w = 17 Add '-5' to each side of the equation. 5 + -5 + 3w = 17 + -5 Combine like terms: 5 + -5 = 0 0 + 3w = 17 + -5 3w = 17 + -5 Combine like terms: 17 + -5 = 12 3w = 12 Divide each side by '3'. w = 4 Simplifying w = 4
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