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Simplifying -3(-8w + 3) + -6w = 6(w + -3) + -1 Reorder the terms: -3(3 + -8w) + -6w = 6(w + -3) + -1 (3 * -3 + -8w * -3) + -6w = 6(w + -3) + -1 (-9 + 24w) + -6w = 6(w + -3) + -1 Combine like terms: 24w + -6w = 18w -9 + 18w = 6(w + -3) + -1 Reorder the terms: -9 + 18w = 6(-3 + w) + -1 -9 + 18w = (-3 * 6 + w * 6) + -1 -9 + 18w = (-18 + 6w) + -1 Reorder the terms: -9 + 18w = -18 + -1 + 6w Combine like terms: -18 + -1 = -19 -9 + 18w = -19 + 6w Solving -9 + 18w = -19 + 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. -9 + 18w + -6w = -19 + 6w + -6w Combine like terms: 18w + -6w = 12w -9 + 12w = -19 + 6w + -6w Combine like terms: 6w + -6w = 0 -9 + 12w = -19 + 0 -9 + 12w = -19 Add '9' to each side of the equation. -9 + 9 + 12w = -19 + 9 Combine like terms: -9 + 9 = 0 0 + 12w = -19 + 9 12w = -19 + 9 Combine like terms: -19 + 9 = -10 12w = -10 Divide each side by '12'. w = -0.8333333333 Simplifying w = -0.8333333333
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