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Simplifying 2(w + -9) + -8 = -6(-3w + 6) + -1w Reorder the terms: 2(-9 + w) + -8 = -6(-3w + 6) + -1w (-9 * 2 + w * 2) + -8 = -6(-3w + 6) + -1w (-18 + 2w) + -8 = -6(-3w + 6) + -1w Reorder the terms: -18 + -8 + 2w = -6(-3w + 6) + -1w Combine like terms: -18 + -8 = -26 -26 + 2w = -6(-3w + 6) + -1w Reorder the terms: -26 + 2w = -6(6 + -3w) + -1w -26 + 2w = (6 * -6 + -3w * -6) + -1w -26 + 2w = (-36 + 18w) + -1w Combine like terms: 18w + -1w = 17w -26 + 2w = -36 + 17w Solving -26 + 2w = -36 + 17w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-17w' to each side of the equation. -26 + 2w + -17w = -36 + 17w + -17w Combine like terms: 2w + -17w = -15w -26 + -15w = -36 + 17w + -17w Combine like terms: 17w + -17w = 0 -26 + -15w = -36 + 0 -26 + -15w = -36 Add '26' to each side of the equation. -26 + 26 + -15w = -36 + 26 Combine like terms: -26 + 26 = 0 0 + -15w = -36 + 26 -15w = -36 + 26 Combine like terms: -36 + 26 = -10 -15w = -10 Divide each side by '-15'. w = 0.6666666667 Simplifying w = 0.6666666667
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