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Simplifying 5w + 16 = 3w + 6w + -12 Reorder the terms: 16 + 5w = 3w + 6w + -12 Reorder the terms: 16 + 5w = -12 + 3w + 6w Combine like terms: 3w + 6w = 9w 16 + 5w = -12 + 9w Solving 16 + 5w = -12 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 16 + 5w + -9w = -12 + 9w + -9w Combine like terms: 5w + -9w = -4w 16 + -4w = -12 + 9w + -9w Combine like terms: 9w + -9w = 0 16 + -4w = -12 + 0 16 + -4w = -12 Add '-16' to each side of the equation. 16 + -16 + -4w = -12 + -16 Combine like terms: 16 + -16 = 0 0 + -4w = -12 + -16 -4w = -12 + -16 Combine like terms: -12 + -16 = -28 -4w = -28 Divide each side by '-4'. w = 7 Simplifying w = 7
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