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Simplifying -5(w + -2) + -1(9w + -8) = 3w Reorder the terms: -5(-2 + w) + -1(9w + -8) = 3w (-2 * -5 + w * -5) + -1(9w + -8) = 3w (10 + -5w) + -1(9w + -8) = 3w Reorder the terms: 10 + -5w + -1(-8 + 9w) = 3w 10 + -5w + (-8 * -1 + 9w * -1) = 3w 10 + -5w + (8 + -9w) = 3w Reorder the terms: 10 + 8 + -5w + -9w = 3w Combine like terms: 10 + 8 = 18 18 + -5w + -9w = 3w Combine like terms: -5w + -9w = -14w 18 + -14w = 3w Solving 18 + -14w = 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 18 + -14w + -3w = 3w + -3w Combine like terms: -14w + -3w = -17w 18 + -17w = 3w + -3w Combine like terms: 3w + -3w = 0 18 + -17w = 0 Add '-18' to each side of the equation. 18 + -18 + -17w = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -17w = 0 + -18 -17w = 0 + -18 Combine like terms: 0 + -18 = -18 -17w = -18 Divide each side by '-17'. w = 1.058823529 Simplifying w = 1.058823529
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