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Simplifying 5(2w + -1) + -14w = -1W + -11 Reorder the terms: 5(-1 + 2w) + -14w = -1W + -11 (-1 * 5 + 2w * 5) + -14w = -1W + -11 (-5 + 10w) + -14w = -1W + -11 Combine like terms: 10w + -14w = -4w -5 + -4w = -1W + -11 Reorder the terms: -5 + -4w = -11 + -1W Solving -5 + -4w = -11 + -1W 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 + -4w = -11 + 5 + -1W Combine like terms: -5 + 5 = 0 0 + -4w = -11 + 5 + -1W -4w = -11 + 5 + -1W Combine like terms: -11 + 5 = -6 -4w = -6 + -1W Divide each side by '-4'. w = 1.5 + 0.25W Simplifying w = 1.5 + 0.25W
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