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Simplifying 3w + 16 = 4w + 5 Reorder the terms: 16 + 3w = 4w + 5 Reorder the terms: 16 + 3w = 5 + 4w Solving 16 + 3w = 5 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 16 + 3w + -4w = 5 + 4w + -4w Combine like terms: 3w + -4w = -1w 16 + -1w = 5 + 4w + -4w Combine like terms: 4w + -4w = 0 16 + -1w = 5 + 0 16 + -1w = 5 Add '-16' to each side of the equation. 16 + -16 + -1w = 5 + -16 Combine like terms: 16 + -16 = 0 0 + -1w = 5 + -16 -1w = 5 + -16 Combine like terms: 5 + -16 = -11 -1w = -11 Divide each side by '-1'. w = 11 Simplifying w = 11
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