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Simplifying 6 = -8(3 + -1w) + -3w 6 = (3 * -8 + -1w * -8) + -3w 6 = (-24 + 8w) + -3w Combine like terms: 8w + -3w = 5w 6 = -24 + 5w Solving 6 = -24 + 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. 6 + -5w = -24 + 5w + -5w Combine like terms: 5w + -5w = 0 6 + -5w = -24 + 0 6 + -5w = -24 Add '-6' to each side of the equation. 6 + -6 + -5w = -24 + -6 Combine like terms: 6 + -6 = 0 0 + -5w = -24 + -6 -5w = -24 + -6 Combine like terms: -24 + -6 = -30 -5w = -30 Divide each side by '-5'. w = 6 Simplifying w = 6
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