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Simplifying 6w + 3 = 3w + -21 Reorder the terms: 3 + 6w = 3w + -21 Reorder the terms: 3 + 6w = -21 + 3w Solving 3 + 6w = -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. 3 + 6w + -3w = -21 + 3w + -3w Combine like terms: 6w + -3w = 3w 3 + 3w = -21 + 3w + -3w Combine like terms: 3w + -3w = 0 3 + 3w = -21 + 0 3 + 3w = -21 Add '-3' to each side of the equation. 3 + -3 + 3w = -21 + -3 Combine like terms: 3 + -3 = 0 0 + 3w = -21 + -3 3w = -21 + -3 Combine like terms: -21 + -3 = -24 3w = -24 Divide each side by '3'. w = -8 Simplifying w = -8
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