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Simplifying -6(-3w + 5) + -6w = 3(w + -8) + -9 Reorder the terms: -6(5 + -3w) + -6w = 3(w + -8) + -9 (5 * -6 + -3w * -6) + -6w = 3(w + -8) + -9 (-30 + 18w) + -6w = 3(w + -8) + -9 Combine like terms: 18w + -6w = 12w -30 + 12w = 3(w + -8) + -9 Reorder the terms: -30 + 12w = 3(-8 + w) + -9 -30 + 12w = (-8 * 3 + w * 3) + -9 -30 + 12w = (-24 + 3w) + -9 Reorder the terms: -30 + 12w = -24 + -9 + 3w Combine like terms: -24 + -9 = -33 -30 + 12w = -33 + 3w Solving -30 + 12w = -33 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -30 + 12w + -3w = -33 + 3w + -3w Combine like terms: 12w + -3w = 9w -30 + 9w = -33 + 3w + -3w Combine like terms: 3w + -3w = 0 -30 + 9w = -33 + 0 -30 + 9w = -33 Add '30' to each side of the equation. -30 + 30 + 9w = -33 + 30 Combine like terms: -30 + 30 = 0 0 + 9w = -33 + 30 9w = -33 + 30 Combine like terms: -33 + 30 = -3 9w = -3 Divide each side by '9'. w = -0.3333333333 Simplifying w = -0.3333333333
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