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Simplifying 2 = 5(5w + -2) + -9(3w + -2) Reorder the terms: 2 = 5(-2 + 5w) + -9(3w + -2) 2 = (-2 * 5 + 5w * 5) + -9(3w + -2) 2 = (-10 + 25w) + -9(3w + -2) Reorder the terms: 2 = -10 + 25w + -9(-2 + 3w) 2 = -10 + 25w + (-2 * -9 + 3w * -9) 2 = -10 + 25w + (18 + -27w) Reorder the terms: 2 = -10 + 18 + 25w + -27w Combine like terms: -10 + 18 = 8 2 = 8 + 25w + -27w Combine like terms: 25w + -27w = -2w 2 = 8 + -2w Solving 2 = 8 + -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 = 8 + -2w + 2w Combine like terms: -2w + 2w = 0 2 + 2w = 8 + 0 2 + 2w = 8 Add '-2' to each side of the equation. 2 + -2 + 2w = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 2w = 8 + -2 2w = 8 + -2 Combine like terms: 8 + -2 = 6 2w = 6 Divide each side by '2'. w = 3 Simplifying w = 3
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