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Simplifying -7w + 21 = 3w + -9 Reorder the terms: 21 + -7w = 3w + -9 Reorder the terms: 21 + -7w = -9 + 3w Solving 21 + -7w = -9 + 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. 21 + -7w + -3w = -9 + 3w + -3w Combine like terms: -7w + -3w = -10w 21 + -10w = -9 + 3w + -3w Combine like terms: 3w + -3w = 0 21 + -10w = -9 + 0 21 + -10w = -9 Add '-21' to each side of the equation. 21 + -21 + -10w = -9 + -21 Combine like terms: 21 + -21 = 0 0 + -10w = -9 + -21 -10w = -9 + -21 Combine like terms: -9 + -21 = -30 -10w = -30 Divide each side by '-10'. w = 3 Simplifying w = 3
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