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Simplifying 9 = 3(w + -7) + -6w Reorder the terms: 9 = 3(-7 + w) + -6w 9 = (-7 * 3 + w * 3) + -6w 9 = (-21 + 3w) + -6w Combine like terms: 3w + -6w = -3w 9 = -21 + -3w Solving 9 = -21 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 9 + 3w = -21 + -3w + 3w Combine like terms: -3w + 3w = 0 9 + 3w = -21 + 0 9 + 3w = -21 Add '-9' to each side of the equation. 9 + -9 + 3w = -21 + -9 Combine like terms: 9 + -9 = 0 0 + 3w = -21 + -9 3w = -21 + -9 Combine like terms: -21 + -9 = -30 3w = -30 Divide each side by '3'. w = -10 Simplifying w = -10
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