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Simplifying -3(w + 3) = 7w + -5 + 2(2w + 1) Reorder the terms: -3(3 + w) = 7w + -5 + 2(2w + 1) (3 * -3 + w * -3) = 7w + -5 + 2(2w + 1) (-9 + -3w) = 7w + -5 + 2(2w + 1) Reorder the terms: -9 + -3w = 7w + -5 + 2(1 + 2w) -9 + -3w = 7w + -5 + (1 * 2 + 2w * 2) -9 + -3w = 7w + -5 + (2 + 4w) Reorder the terms: -9 + -3w = -5 + 2 + 7w + 4w Combine like terms: -5 + 2 = -3 -9 + -3w = -3 + 7w + 4w Combine like terms: 7w + 4w = 11w -9 + -3w = -3 + 11w Solving -9 + -3w = -3 + 11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11w' to each side of the equation. -9 + -3w + -11w = -3 + 11w + -11w Combine like terms: -3w + -11w = -14w -9 + -14w = -3 + 11w + -11w Combine like terms: 11w + -11w = 0 -9 + -14w = -3 + 0 -9 + -14w = -3 Add '9' to each side of the equation. -9 + 9 + -14w = -3 + 9 Combine like terms: -9 + 9 = 0 0 + -14w = -3 + 9 -14w = -3 + 9 Combine like terms: -3 + 9 = 6 -14w = 6 Divide each side by '-14'. w = -0.4285714286 Simplifying w = -0.4285714286
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