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Simplifying 3(w + -2) + -8 = -6(-4w + 3) + -3w Reorder the terms: 3(-2 + w) + -8 = -6(-4w + 3) + -3w (-2 * 3 + w * 3) + -8 = -6(-4w + 3) + -3w (-6 + 3w) + -8 = -6(-4w + 3) + -3w Reorder the terms: -6 + -8 + 3w = -6(-4w + 3) + -3w Combine like terms: -6 + -8 = -14 -14 + 3w = -6(-4w + 3) + -3w Reorder the terms: -14 + 3w = -6(3 + -4w) + -3w -14 + 3w = (3 * -6 + -4w * -6) + -3w -14 + 3w = (-18 + 24w) + -3w Combine like terms: 24w + -3w = 21w -14 + 3w = -18 + 21w Solving -14 + 3w = -18 + 21w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-21w' to each side of the equation. -14 + 3w + -21w = -18 + 21w + -21w Combine like terms: 3w + -21w = -18w -14 + -18w = -18 + 21w + -21w Combine like terms: 21w + -21w = 0 -14 + -18w = -18 + 0 -14 + -18w = -18 Add '14' to each side of the equation. -14 + 14 + -18w = -18 + 14 Combine like terms: -14 + 14 = 0 0 + -18w = -18 + 14 -18w = -18 + 14 Combine like terms: -18 + 14 = -4 -18w = -4 Divide each side by '-18'. w = 0.2222222222 Simplifying w = 0.2222222222
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