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Simplifying -9 = 3(w + 7) + 3w Reorder the terms: -9 = 3(7 + w) + 3w -9 = (7 * 3 + w * 3) + 3w -9 = (21 + 3w) + 3w Combine like terms: 3w + 3w = 6w -9 = 21 + 6w Solving -9 = 21 + 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. -9 + -6w = 21 + 6w + -6w Combine like terms: 6w + -6w = 0 -9 + -6w = 21 + 0 -9 + -6w = 21 Add '9' to each side of the equation. -9 + 9 + -6w = 21 + 9 Combine like terms: -9 + 9 = 0 0 + -6w = 21 + 9 -6w = 21 + 9 Combine like terms: 21 + 9 = 30 -6w = 30 Divide each side by '-6'. w = -5 Simplifying w = -5
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