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Simplifying 2(w + -9) + -8 = -6(-4w + 5) + -4w Reorder the terms: 2(-9 + w) + -8 = -6(-4w + 5) + -4w (-9 * 2 + w * 2) + -8 = -6(-4w + 5) + -4w (-18 + 2w) + -8 = -6(-4w + 5) + -4w Reorder the terms: -18 + -8 + 2w = -6(-4w + 5) + -4w Combine like terms: -18 + -8 = -26 -26 + 2w = -6(-4w + 5) + -4w Reorder the terms: -26 + 2w = -6(5 + -4w) + -4w -26 + 2w = (5 * -6 + -4w * -6) + -4w -26 + 2w = (-30 + 24w) + -4w Combine like terms: 24w + -4w = 20w -26 + 2w = -30 + 20w Solving -26 + 2w = -30 + 20w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20w' to each side of the equation. -26 + 2w + -20w = -30 + 20w + -20w Combine like terms: 2w + -20w = -18w -26 + -18w = -30 + 20w + -20w Combine like terms: 20w + -20w = 0 -26 + -18w = -30 + 0 -26 + -18w = -30 Add '26' to each side of the equation. -26 + 26 + -18w = -30 + 26 Combine like terms: -26 + 26 = 0 0 + -18w = -30 + 26 -18w = -30 + 26 Combine like terms: -30 + 26 = -4 -18w = -4 Divide each side by '-18'. w = 0.2222222222 Simplifying w = 0.2222222222
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