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Simplifying 1 + -2w = 3w + 16 Reorder the terms: 1 + -2w = 16 + 3w Solving 1 + -2w = 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. 1 + -2w + -3w = 16 + 3w + -3w Combine like terms: -2w + -3w = -5w 1 + -5w = 16 + 3w + -3w Combine like terms: 3w + -3w = 0 1 + -5w = 16 + 0 1 + -5w = 16 Add '-1' to each side of the equation. 1 + -1 + -5w = 16 + -1 Combine like terms: 1 + -1 = 0 0 + -5w = 16 + -1 -5w = 16 + -1 Combine like terms: 16 + -1 = 15 -5w = 15 Divide each side by '-5'. w = -3 Simplifying w = -3
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