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Simplifying 10w + 6 = -3w + -21 + 10w Reorder the terms: 6 + 10w = -3w + -21 + 10w Reorder the terms: 6 + 10w = -21 + -3w + 10w Combine like terms: -3w + 10w = 7w 6 + 10w = -21 + 7w Solving 6 + 10w = -21 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 6 + 10w + -7w = -21 + 7w + -7w Combine like terms: 10w + -7w = 3w 6 + 3w = -21 + 7w + -7w Combine like terms: 7w + -7w = 0 6 + 3w = -21 + 0 6 + 3w = -21 Add '-6' to each side of the equation. 6 + -6 + 3w = -21 + -6 Combine like terms: 6 + -6 = 0 0 + 3w = -21 + -6 3w = -21 + -6 Combine like terms: -21 + -6 = -27 3w = -27 Divide each side by '3'. w = -9 Simplifying w = -9
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