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Simplifying 5(w + -5) + -7w = -27 Reorder the terms: 5(-5 + w) + -7w = -27 (-5 * 5 + w * 5) + -7w = -27 (-25 + 5w) + -7w = -27 Combine like terms: 5w + -7w = -2w -25 + -2w = -27 Solving -25 + -2w = -27 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -2w = -27 + 25 Combine like terms: -25 + 25 = 0 0 + -2w = -27 + 25 -2w = -27 + 25 Combine like terms: -27 + 25 = -2 -2w = -2 Divide each side by '-2'. w = 1 Simplifying w = 1
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