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Simplifying 3w + -8 + -22 = -9 + -8w + 4 Reorder the terms: -8 + -22 + 3w = -9 + -8w + 4 Combine like terms: -8 + -22 = -30 -30 + 3w = -9 + -8w + 4 Reorder the terms: -30 + 3w = -9 + 4 + -8w Combine like terms: -9 + 4 = -5 -30 + 3w = -5 + -8w Solving -30 + 3w = -5 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. -30 + 3w + 8w = -5 + -8w + 8w Combine like terms: 3w + 8w = 11w -30 + 11w = -5 + -8w + 8w Combine like terms: -8w + 8w = 0 -30 + 11w = -5 + 0 -30 + 11w = -5 Add '30' to each side of the equation. -30 + 30 + 11w = -5 + 30 Combine like terms: -30 + 30 = 0 0 + 11w = -5 + 30 11w = -5 + 30 Combine like terms: -5 + 30 = 25 11w = 25 Divide each side by '11'. w = 2.272727273 Simplifying w = 2.272727273
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