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Simplifying 8w + -21 = 2w + -9 Reorder the terms: -21 + 8w = 2w + -9 Reorder the terms: -21 + 8w = -9 + 2w Solving -21 + 8w = -9 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -21 + 8w + -2w = -9 + 2w + -2w Combine like terms: 8w + -2w = 6w -21 + 6w = -9 + 2w + -2w Combine like terms: 2w + -2w = 0 -21 + 6w = -9 + 0 -21 + 6w = -9 Add '21' to each side of the equation. -21 + 21 + 6w = -9 + 21 Combine like terms: -21 + 21 = 0 0 + 6w = -9 + 21 6w = -9 + 21 Combine like terms: -9 + 21 = 12 6w = 12 Divide each side by '6'. w = 2 Simplifying w = 2
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