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Simplifying -17w + -4(w + -1) = -20 + 1 Reorder the terms: -17w + -4(-1 + w) = -20 + 1 -17w + (-1 * -4 + w * -4) = -20 + 1 -17w + (4 + -4w) = -20 + 1 Reorder the terms: 4 + -17w + -4w = -20 + 1 Combine like terms: -17w + -4w = -21w 4 + -21w = -20 + 1 Combine like terms: -20 + 1 = -19 4 + -21w = -19 Solving 4 + -21w = -19 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -21w = -19 + -4 Combine like terms: 4 + -4 = 0 0 + -21w = -19 + -4 -21w = -19 + -4 Combine like terms: -19 + -4 = -23 -21w = -23 Divide each side by '-21'. w = 1.095238095 Simplifying w = 1.095238095
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