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Simplifying w + 100 = 3w + -100 Reorder the terms: 100 + w = 3w + -100 Reorder the terms: 100 + w = -100 + 3w Solving 100 + w = -100 + 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. 100 + w + -3w = -100 + 3w + -3w Combine like terms: w + -3w = -2w 100 + -2w = -100 + 3w + -3w Combine like terms: 3w + -3w = 0 100 + -2w = -100 + 0 100 + -2w = -100 Add '-100' to each side of the equation. 100 + -100 + -2w = -100 + -100 Combine like terms: 100 + -100 = 0 0 + -2w = -100 + -100 -2w = -100 + -100 Combine like terms: -100 + -100 = -200 -2w = -200 Divide each side by '-2'. w = 100 Simplifying w = 100
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