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Simplifying -1w + 1 = 3w + 17 Reorder the terms: 1 + -1w = 3w + 17 Reorder the terms: 1 + -1w = 17 + 3w Solving 1 + -1w = 17 + 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 + -1w + -3w = 17 + 3w + -3w Combine like terms: -1w + -3w = -4w 1 + -4w = 17 + 3w + -3w Combine like terms: 3w + -3w = 0 1 + -4w = 17 + 0 1 + -4w = 17 Add '-1' to each side of the equation. 1 + -1 + -4w = 17 + -1 Combine like terms: 1 + -1 = 0 0 + -4w = 17 + -1 -4w = 17 + -1 Combine like terms: 17 + -1 = 16 -4w = 16 Divide each side by '-4'. w = -4 Simplifying w = -4
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