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Simplifying 2 = 5(5w + -2) + -9(3w + -3) Reorder the terms: 2 = 5(-2 + 5w) + -9(3w + -3) 2 = (-2 * 5 + 5w * 5) + -9(3w + -3) 2 = (-10 + 25w) + -9(3w + -3) Reorder the terms: 2 = -10 + 25w + -9(-3 + 3w) 2 = -10 + 25w + (-3 * -9 + 3w * -9) 2 = -10 + 25w + (27 + -27w) Reorder the terms: 2 = -10 + 27 + 25w + -27w Combine like terms: -10 + 27 = 17 2 = 17 + 25w + -27w Combine like terms: 25w + -27w = -2w 2 = 17 + -2w Solving 2 = 17 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 2 + 2w = 17 + -2w + 2w Combine like terms: -2w + 2w = 0 2 + 2w = 17 + 0 2 + 2w = 17 Add '-2' to each side of the equation. 2 + -2 + 2w = 17 + -2 Combine like terms: 2 + -2 = 0 0 + 2w = 17 + -2 2w = 17 + -2 Combine like terms: 17 + -2 = 15 2w = 15 Divide each side by '2'. w = 7.5 Simplifying w = 7.5
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