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Simplifying -6w + 3(w + -6) = -24 Reorder the terms: -6w + 3(-6 + w) = -24 -6w + (-6 * 3 + w * 3) = -24 -6w + (-18 + 3w) = -24 Reorder the terms: -18 + -6w + 3w = -24 Combine like terms: -6w + 3w = -3w -18 + -3w = -24 Solving -18 + -3w = -24 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -3w = -24 + 18 Combine like terms: -18 + 18 = 0 0 + -3w = -24 + 18 -3w = -24 + 18 Combine like terms: -24 + 18 = -6 -3w = -6 Divide each side by '-3'. w = 2 Simplifying w = 2
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