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Simplifying -5(2w + 1) + -1w = 17 Reorder the terms: -5(1 + 2w) + -1w = 17 (1 * -5 + 2w * -5) + -1w = 17 (-5 + -10w) + -1w = 17 Combine like terms: -10w + -1w = -11w -5 + -11w = 17 Solving -5 + -11w = 17 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -11w = 17 + 5 Combine like terms: -5 + 5 = 0 0 + -11w = 17 + 5 -11w = 17 + 5 Combine like terms: 17 + 5 = 22 -11w = 22 Divide each side by '-11'. w = -2 Simplifying w = -2
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