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Simplifying -8w + 3(w + -7) = 24 Reorder the terms: -8w + 3(-7 + w) = 24 -8w + (-7 * 3 + w * 3) = 24 -8w + (-21 + 3w) = 24 Reorder the terms: -21 + -8w + 3w = 24 Combine like terms: -8w + 3w = -5w -21 + -5w = 24 Solving -21 + -5w = 24 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -5w = 24 + 21 Combine like terms: -21 + 21 = 0 0 + -5w = 24 + 21 -5w = 24 + 21 Combine like terms: 24 + 21 = 45 -5w = 45 Divide each side by '-5'. w = -9 Simplifying w = -9
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