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Simplifying -5(w + 3) = 3w + -9 + 2(3w + 5) Reorder the terms: -5(3 + w) = 3w + -9 + 2(3w + 5) (3 * -5 + w * -5) = 3w + -9 + 2(3w + 5) (-15 + -5w) = 3w + -9 + 2(3w + 5) Reorder the terms: -15 + -5w = 3w + -9 + 2(5 + 3w) -15 + -5w = 3w + -9 + (5 * 2 + 3w * 2) -15 + -5w = 3w + -9 + (10 + 6w) Reorder the terms: -15 + -5w = -9 + 10 + 3w + 6w Combine like terms: -9 + 10 = 1 -15 + -5w = 1 + 3w + 6w Combine like terms: 3w + 6w = 9w -15 + -5w = 1 + 9w Solving -15 + -5w = 1 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -15 + -5w + -9w = 1 + 9w + -9w Combine like terms: -5w + -9w = -14w -15 + -14w = 1 + 9w + -9w Combine like terms: 9w + -9w = 0 -15 + -14w = 1 + 0 -15 + -14w = 1 Add '15' to each side of the equation. -15 + 15 + -14w = 1 + 15 Combine like terms: -15 + 15 = 0 0 + -14w = 1 + 15 -14w = 1 + 15 Combine like terms: 1 + 15 = 16 -14w = 16 Divide each side by '-14'. w = -1.142857143 Simplifying w = -1.142857143
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