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Simplifying 3(w + -3) + -6 = -3(-9w + 6) + -6w Reorder the terms: 3(-3 + w) + -6 = -3(-9w + 6) + -6w (-3 * 3 + w * 3) + -6 = -3(-9w + 6) + -6w (-9 + 3w) + -6 = -3(-9w + 6) + -6w Reorder the terms: -9 + -6 + 3w = -3(-9w + 6) + -6w Combine like terms: -9 + -6 = -15 -15 + 3w = -3(-9w + 6) + -6w Reorder the terms: -15 + 3w = -3(6 + -9w) + -6w -15 + 3w = (6 * -3 + -9w * -3) + -6w -15 + 3w = (-18 + 27w) + -6w Combine like terms: 27w + -6w = 21w -15 + 3w = -18 + 21w Solving -15 + 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. -15 + 3w + -21w = -18 + 21w + -21w Combine like terms: 3w + -21w = -18w -15 + -18w = -18 + 21w + -21w Combine like terms: 21w + -21w = 0 -15 + -18w = -18 + 0 -15 + -18w = -18 Add '15' to each side of the equation. -15 + 15 + -18w = -18 + 15 Combine like terms: -15 + 15 = 0 0 + -18w = -18 + 15 -18w = -18 + 15 Combine like terms: -18 + 15 = -3 -18w = -3 Divide each side by '-18'. w = 0.1666666667 Simplifying w = 0.1666666667
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