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Simplifying 4w + -8 + 2w = 3w + 16 Reorder the terms: -8 + 4w + 2w = 3w + 16 Combine like terms: 4w + 2w = 6w -8 + 6w = 3w + 16 Reorder the terms: -8 + 6w = 16 + 3w Solving -8 + 6w = 16 + 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. -8 + 6w + -3w = 16 + 3w + -3w Combine like terms: 6w + -3w = 3w -8 + 3w = 16 + 3w + -3w Combine like terms: 3w + -3w = 0 -8 + 3w = 16 + 0 -8 + 3w = 16 Add '8' to each side of the equation. -8 + 8 + 3w = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 3w = 16 + 8 3w = 16 + 8 Combine like terms: 16 + 8 = 24 3w = 24 Divide each side by '3'. w = 8 Simplifying w = 8
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