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Simplifying 15 + -1(2w + 17) = 14 Reorder the terms: 15 + -1(17 + 2w) = 14 15 + (17 * -1 + 2w * -1) = 14 15 + (-17 + -2w) = 14 Combine like terms: 15 + -17 = -2 -2 + -2w = 14 Solving -2 + -2w = 14 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -2w = 14 + 2 Combine like terms: -2 + 2 = 0 0 + -2w = 14 + 2 -2w = 14 + 2 Combine like terms: 14 + 2 = 16 -2w = 16 Divide each side by '-2'. w = -8 Simplifying w = -8
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