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Simplifying 6w + -9 = -9(w + -9) Reorder the terms: -9 + 6w = -9(w + -9) Reorder the terms: -9 + 6w = -9(-9 + w) -9 + 6w = (-9 * -9 + w * -9) -9 + 6w = (81 + -9w) Solving -9 + 6w = 81 + -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. -9 + 6w + 9w = 81 + -9w + 9w Combine like terms: 6w + 9w = 15w -9 + 15w = 81 + -9w + 9w Combine like terms: -9w + 9w = 0 -9 + 15w = 81 + 0 -9 + 15w = 81 Add '9' to each side of the equation. -9 + 9 + 15w = 81 + 9 Combine like terms: -9 + 9 = 0 0 + 15w = 81 + 9 15w = 81 + 9 Combine like terms: 81 + 9 = 90 15w = 90 Divide each side by '15'. w = 6 Simplifying w = 6
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