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Simplifying 5(w + -6) + -8w = -9 Reorder the terms: 5(-6 + w) + -8w = -9 (-6 * 5 + w * 5) + -8w = -9 (-30 + 5w) + -8w = -9 Combine like terms: 5w + -8w = -3w -30 + -3w = -9 Solving -30 + -3w = -9 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -3w = -9 + 30 Combine like terms: -30 + 30 = 0 0 + -3w = -9 + 30 -3w = -9 + 30 Combine like terms: -9 + 30 = 21 -3w = 21 Divide each side by '-3'. w = -7 Simplifying w = -7
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