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Simplifying 7w + 4(9w + -2) = 2 Reorder the terms: 7w + 4(-2 + 9w) = 2 7w + (-2 * 4 + 9w * 4) = 2 7w + (-8 + 36w) = 2 Reorder the terms: -8 + 7w + 36w = 2 Combine like terms: 7w + 36w = 43w -8 + 43w = 2 Solving -8 + 43w = 2 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 43w = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 43w = 2 + 8 43w = 2 + 8 Combine like terms: 2 + 8 = 10 43w = 10 Divide each side by '43'. w = 0.2325581395 Simplifying w = 0.2325581395
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