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Simplifying 21 + -1w = 5w + -3 Reorder the terms: 21 + -1w = -3 + 5w Solving 21 + -1w = -3 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 21 + -1w + -5w = -3 + 5w + -5w Combine like terms: -1w + -5w = -6w 21 + -6w = -3 + 5w + -5w Combine like terms: 5w + -5w = 0 21 + -6w = -3 + 0 21 + -6w = -3 Add '-21' to each side of the equation. 21 + -21 + -6w = -3 + -21 Combine like terms: 21 + -21 = 0 0 + -6w = -3 + -21 -6w = -3 + -21 Combine like terms: -3 + -21 = -24 -6w = -24 Divide each side by '-6'. w = 4 Simplifying w = 4
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