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Simplifying 5w + 5 = -6w + 16 Reorder the terms: 5 + 5w = -6w + 16 Reorder the terms: 5 + 5w = 16 + -6w Solving 5 + 5w = 16 + -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. 5 + 5w + 6w = 16 + -6w + 6w Combine like terms: 5w + 6w = 11w 5 + 11w = 16 + -6w + 6w Combine like terms: -6w + 6w = 0 5 + 11w = 16 + 0 5 + 11w = 16 Add '-5' to each side of the equation. 5 + -5 + 11w = 16 + -5 Combine like terms: 5 + -5 = 0 0 + 11w = 16 + -5 11w = 16 + -5 Combine like terms: 16 + -5 = 11 11w = 11 Divide each side by '11'. w = 1 Simplifying w = 1
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