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Simplifying 11 = 46 + -5(-1 + -4w) 11 = 46 + (-1 * -5 + -4w * -5) 11 = 46 + (5 + 20w) Combine like terms: 46 + 5 = 51 11 = 51 + 20w Solving 11 = 51 + 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. 11 + -20w = 51 + 20w + -20w Combine like terms: 20w + -20w = 0 11 + -20w = 51 + 0 11 + -20w = 51 Add '-11' to each side of the equation. 11 + -11 + -20w = 51 + -11 Combine like terms: 11 + -11 = 0 0 + -20w = 51 + -11 -20w = 51 + -11 Combine like terms: 51 + -11 = 40 -20w = 40 Divide each side by '-20'. w = -2 Simplifying w = -2
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