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Simplifying -17w + -4(w + -1) = 20w + 1 Reorder the terms: -17w + -4(-1 + w) = 20w + 1 -17w + (-1 * -4 + w * -4) = 20w + 1 -17w + (4 + -4w) = 20w + 1 Reorder the terms: 4 + -17w + -4w = 20w + 1 Combine like terms: -17w + -4w = -21w 4 + -21w = 20w + 1 Reorder the terms: 4 + -21w = 1 + 20w Solving 4 + -21w = 1 + 20w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20w' to each side of the equation. 4 + -21w + -20w = 1 + 20w + -20w Combine like terms: -21w + -20w = -41w 4 + -41w = 1 + 20w + -20w Combine like terms: 20w + -20w = 0 4 + -41w = 1 + 0 4 + -41w = 1 Add '-4' to each side of the equation. 4 + -4 + -41w = 1 + -4 Combine like terms: 4 + -4 = 0 0 + -41w = 1 + -4 -41w = 1 + -4 Combine like terms: 1 + -4 = -3 -41w = -3 Divide each side by '-41'. w = 0.07317073171 Simplifying w = 0.07317073171
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