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Simplifying -8w + -9 = -5(w + -3) Reorder the terms: -9 + -8w = -5(w + -3) Reorder the terms: -9 + -8w = -5(-3 + w) -9 + -8w = (-3 * -5 + w * -5) -9 + -8w = (15 + -5w) Solving -9 + -8w = 15 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -9 + -8w + 5w = 15 + -5w + 5w Combine like terms: -8w + 5w = -3w -9 + -3w = 15 + -5w + 5w Combine like terms: -5w + 5w = 0 -9 + -3w = 15 + 0 -9 + -3w = 15 Add '9' to each side of the equation. -9 + 9 + -3w = 15 + 9 Combine like terms: -9 + 9 = 0 0 + -3w = 15 + 9 -3w = 15 + 9 Combine like terms: 15 + 9 = 24 -3w = 24 Divide each side by '-3'. w = -8 Simplifying w = -8
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