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Simplifying 5(w + -1) = 4w + 6 + -5(-3w + -1) Reorder the terms: 5(-1 + w) = 4w + 6 + -5(-3w + -1) (-1 * 5 + w * 5) = 4w + 6 + -5(-3w + -1) (-5 + 5w) = 4w + 6 + -5(-3w + -1) Reorder the terms: -5 + 5w = 4w + 6 + -5(-1 + -3w) -5 + 5w = 4w + 6 + (-1 * -5 + -3w * -5) -5 + 5w = 4w + 6 + (5 + 15w) Reorder the terms: -5 + 5w = 6 + 5 + 4w + 15w Combine like terms: 6 + 5 = 11 -5 + 5w = 11 + 4w + 15w Combine like terms: 4w + 15w = 19w -5 + 5w = 11 + 19w Solving -5 + 5w = 11 + 19w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-19w' to each side of the equation. -5 + 5w + -19w = 11 + 19w + -19w Combine like terms: 5w + -19w = -14w -5 + -14w = 11 + 19w + -19w Combine like terms: 19w + -19w = 0 -5 + -14w = 11 + 0 -5 + -14w = 11 Add '5' to each side of the equation. -5 + 5 + -14w = 11 + 5 Combine like terms: -5 + 5 = 0 0 + -14w = 11 + 5 -14w = 11 + 5 Combine like terms: 11 + 5 = 16 -14w = 16 Divide each side by '-14'. w = -1.142857143 Simplifying w = -1.142857143
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