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Simplifying 9w + 21 = -6(w + -6) Reorder the terms: 21 + 9w = -6(w + -6) Reorder the terms: 21 + 9w = -6(-6 + w) 21 + 9w = (-6 * -6 + w * -6) 21 + 9w = (36 + -6w) Solving 21 + 9w = 36 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 21 + 9w + 6w = 36 + -6w + 6w Combine like terms: 9w + 6w = 15w 21 + 15w = 36 + -6w + 6w Combine like terms: -6w + 6w = 0 21 + 15w = 36 + 0 21 + 15w = 36 Add '-21' to each side of the equation. 21 + -21 + 15w = 36 + -21 Combine like terms: 21 + -21 = 0 0 + 15w = 36 + -21 15w = 36 + -21 Combine like terms: 36 + -21 = 15 15w = 15 Divide each side by '15'. w = 1 Simplifying w = 1
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