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Simplifying -3w + 42 = 70 + -4w Reorder the terms: 42 + -3w = 70 + -4w Solving 42 + -3w = 70 + -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. 42 + -3w + 4w = 70 + -4w + 4w Combine like terms: -3w + 4w = 1w 42 + 1w = 70 + -4w + 4w Combine like terms: -4w + 4w = 0 42 + 1w = 70 + 0 42 + 1w = 70 Add '-42' to each side of the equation. 42 + -42 + 1w = 70 + -42 Combine like terms: 42 + -42 = 0 0 + 1w = 70 + -42 1w = 70 + -42 Combine like terms: 70 + -42 = 28 1w = 28 Divide each side by '1'. w = 28 Simplifying w = 28
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