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Simplifying 24 + -2w = 6w + -40 Reorder the terms: 24 + -2w = -40 + 6w Solving 24 + -2w = -40 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 24 + -2w + -6w = -40 + 6w + -6w Combine like terms: -2w + -6w = -8w 24 + -8w = -40 + 6w + -6w Combine like terms: 6w + -6w = 0 24 + -8w = -40 + 0 24 + -8w = -40 Add '-24' to each side of the equation. 24 + -24 + -8w = -40 + -24 Combine like terms: 24 + -24 = 0 0 + -8w = -40 + -24 -8w = -40 + -24 Combine like terms: -40 + -24 = -64 -8w = -64 Divide each side by '-8'. w = 8 Simplifying w = 8
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