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Simplifying -1w + 4 + -1(3w + -13) = 0 Reorder the terms: -1w + 4 + -1(-13 + 3w) = 0 -1w + 4 + (-13 * -1 + 3w * -1) = 0 -1w + 4 + (13 + -3w) = 0 Reorder the terms: 4 + 13 + -1w + -3w = 0 Combine like terms: 4 + 13 = 17 17 + -1w + -3w = 0 Combine like terms: -1w + -3w = -4w 17 + -4w = 0 Solving 17 + -4w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -4w = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -4w = 0 + -17 -4w = 0 + -17 Combine like terms: 0 + -17 = -17 -4w = -17 Divide each side by '-4'. w = 4.25 Simplifying w = 4.25
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