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Simplifying (w + -3) + -5(w + 7) = 10(w + 3) Reorder the terms: (-3 + w) + -5(w + 7) = 10(w + 3) Remove parenthesis around (-3 + w) -3 + w + -5(w + 7) = 10(w + 3) Reorder the terms: -3 + w + -5(7 + w) = 10(w + 3) -3 + w + (7 * -5 + w * -5) = 10(w + 3) -3 + w + (-35 + -5w) = 10(w + 3) Reorder the terms: -3 + -35 + w + -5w = 10(w + 3) Combine like terms: -3 + -35 = -38 -38 + w + -5w = 10(w + 3) Combine like terms: w + -5w = -4w -38 + -4w = 10(w + 3) Reorder the terms: -38 + -4w = 10(3 + w) -38 + -4w = (3 * 10 + w * 10) -38 + -4w = (30 + 10w) Solving -38 + -4w = 30 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. -38 + -4w + -10w = 30 + 10w + -10w Combine like terms: -4w + -10w = -14w -38 + -14w = 30 + 10w + -10w Combine like terms: 10w + -10w = 0 -38 + -14w = 30 + 0 -38 + -14w = 30 Add '38' to each side of the equation. -38 + 38 + -14w = 30 + 38 Combine like terms: -38 + 38 = 0 0 + -14w = 30 + 38 -14w = 30 + 38 Combine like terms: 30 + 38 = 68 -14w = 68 Divide each side by '-14'. w = -4.857142857 Simplifying w = -4.857142857
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