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