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Simplifying 5(w + -5) + -3 = -4(-7w + 8) + -9w Reorder the terms: 5(-5 + w) + -3 = -4(-7w + 8) + -9w (-5 * 5 + w * 5) + -3 = -4(-7w + 8) + -9w (-25 + 5w) + -3 = -4(-7w + 8) + -9w Reorder the terms: -25 + -3 + 5w = -4(-7w + 8) + -9w Combine like terms: -25 + -3 = -28 -28 + 5w = -4(-7w + 8) + -9w Reorder the terms: -28 + 5w = -4(8 + -7w) + -9w -28 + 5w = (8 * -4 + -7w * -4) + -9w -28 + 5w = (-32 + 28w) + -9w Combine like terms: 28w + -9w = 19w -28 + 5w = -32 + 19w Solving -28 + 5w = -32 + 19w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-19w' to each side of the equation. -28 + 5w + -19w = -32 + 19w + -19w Combine like terms: 5w + -19w = -14w -28 + -14w = -32 + 19w + -19w Combine like terms: 19w + -19w = 0 -28 + -14w = -32 + 0 -28 + -14w = -32 Add '28' to each side of the equation. -28 + 28 + -14w = -32 + 28 Combine like terms: -28 + 28 = 0 0 + -14w = -32 + 28 -14w = -32 + 28 Combine like terms: -32 + 28 = -4 -14w = -4 Divide each side by '-14'. w = 0.2857142857 Simplifying w = 0.2857142857
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