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Simplifying 6w + 16 = 5w + -12 Reorder the terms: 16 + 6w = 5w + -12 Reorder the terms: 16 + 6w = -12 + 5w Solving 16 + 6w = -12 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 16 + 6w + -5w = -12 + 5w + -5w Combine like terms: 6w + -5w = 1w 16 + 1w = -12 + 5w + -5w Combine like terms: 5w + -5w = 0 16 + 1w = -12 + 0 16 + 1w = -12 Add '-16' to each side of the equation. 16 + -16 + 1w = -12 + -16 Combine like terms: 16 + -16 = 0 0 + 1w = -12 + -16 1w = -12 + -16 Combine like terms: -12 + -16 = -28 1w = -28 Divide each side by '1'. w = -28 Simplifying w = -28
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