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Simplifying 9(5 + -2w) + 4 + 3w = 5w + -2 + -7(2w + -10) (5 * 9 + -2w * 9) + 4 + 3w = 5w + -2 + -7(2w + -10) (45 + -18w) + 4 + 3w = 5w + -2 + -7(2w + -10) Reorder the terms: 45 + 4 + -18w + 3w = 5w + -2 + -7(2w + -10) Combine like terms: 45 + 4 = 49 49 + -18w + 3w = 5w + -2 + -7(2w + -10) Combine like terms: -18w + 3w = -15w 49 + -15w = 5w + -2 + -7(2w + -10) Reorder the terms: 49 + -15w = 5w + -2 + -7(-10 + 2w) 49 + -15w = 5w + -2 + (-10 * -7 + 2w * -7) 49 + -15w = 5w + -2 + (70 + -14w) Reorder the terms: 49 + -15w = -2 + 70 + 5w + -14w Combine like terms: -2 + 70 = 68 49 + -15w = 68 + 5w + -14w Combine like terms: 5w + -14w = -9w 49 + -15w = 68 + -9w Solving 49 + -15w = 68 + -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. 49 + -15w + 9w = 68 + -9w + 9w Combine like terms: -15w + 9w = -6w 49 + -6w = 68 + -9w + 9w Combine like terms: -9w + 9w = 0 49 + -6w = 68 + 0 49 + -6w = 68 Add '-49' to each side of the equation. 49 + -49 + -6w = 68 + -49 Combine like terms: 49 + -49 = 0 0 + -6w = 68 + -49 -6w = 68 + -49 Combine like terms: 68 + -49 = 19 -6w = 19 Divide each side by '-6'. w = -3.166666667 Simplifying w = -3.166666667
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