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Simplifying -3(-3w + 8) + -9w = 6(w + -6) + -2 Reorder the terms: -3(8 + -3w) + -9w = 6(w + -6) + -2 (8 * -3 + -3w * -3) + -9w = 6(w + -6) + -2 (-24 + 9w) + -9w = 6(w + -6) + -2 Combine like terms: 9w + -9w = 0 -24 + 0 = 6(w + -6) + -2 -24 = 6(w + -6) + -2 Reorder the terms: -24 = 6(-6 + w) + -2 -24 = (-6 * 6 + w * 6) + -2 -24 = (-36 + 6w) + -2 Reorder the terms: -24 = -36 + -2 + 6w Combine like terms: -36 + -2 = -38 -24 = -38 + 6w Solving -24 = -38 + 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 + -6w = -38 + 6w + -6w Combine like terms: 6w + -6w = 0 -24 + -6w = -38 + 0 -24 + -6w = -38 Add '24' to each side of the equation. -24 + 24 + -6w = -38 + 24 Combine like terms: -24 + 24 = 0 0 + -6w = -38 + 24 -6w = -38 + 24 Combine like terms: -38 + 24 = -14 -6w = -14 Divide each side by '-6'. w = 2.333333333 Simplifying w = 2.333333333
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