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Simplifying 3(w + -3) + -5 = -2(-9w + 9) + -9w Reorder the terms: 3(-3 + w) + -5 = -2(-9w + 9) + -9w (-3 * 3 + w * 3) + -5 = -2(-9w + 9) + -9w (-9 + 3w) + -5 = -2(-9w + 9) + -9w Reorder the terms: -9 + -5 + 3w = -2(-9w + 9) + -9w Combine like terms: -9 + -5 = -14 -14 + 3w = -2(-9w + 9) + -9w Reorder the terms: -14 + 3w = -2(9 + -9w) + -9w -14 + 3w = (9 * -2 + -9w * -2) + -9w -14 + 3w = (-18 + 18w) + -9w Combine like terms: 18w + -9w = 9w -14 + 3w = -18 + 9w Solving -14 + 3w = -18 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -14 + 3w + -9w = -18 + 9w + -9w Combine like terms: 3w + -9w = -6w -14 + -6w = -18 + 9w + -9w Combine like terms: 9w + -9w = 0 -14 + -6w = -18 + 0 -14 + -6w = -18 Add '14' to each side of the equation. -14 + 14 + -6w = -18 + 14 Combine like terms: -14 + 14 = 0 0 + -6w = -18 + 14 -6w = -18 + 14 Combine like terms: -18 + 14 = -4 -6w = -4 Divide each side by '-6'. w = 0.6666666667 Simplifying w = 0.6666666667
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