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Simplifying -8(w + -4) = 6w + -24 Reorder the terms: -8(-4 + w) = 6w + -24 (-4 * -8 + w * -8) = 6w + -24 (32 + -8w) = 6w + -24 Reorder the terms: 32 + -8w = -24 + 6w Solving 32 + -8w = -24 + 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. 32 + -8w + -6w = -24 + 6w + -6w Combine like terms: -8w + -6w = -14w 32 + -14w = -24 + 6w + -6w Combine like terms: 6w + -6w = 0 32 + -14w = -24 + 0 32 + -14w = -24 Add '-32' to each side of the equation. 32 + -32 + -14w = -24 + -32 Combine like terms: 32 + -32 = 0 0 + -14w = -24 + -32 -14w = -24 + -32 Combine like terms: -24 + -32 = -56 -14w = -56 Divide each side by '-14'. w = 4 Simplifying w = 4
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