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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 = -6 3w = -6 Divide each side by '3'. w = -2 Simplifying w = -2
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