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Simplifying 9(w + -9) + -1(7w + -1) = w Reorder the terms: 9(-9 + w) + -1(7w + -1) = w (-9 * 9 + w * 9) + -1(7w + -1) = w (-81 + 9w) + -1(7w + -1) = w Reorder the terms: -81 + 9w + -1(-1 + 7w) = w -81 + 9w + (-1 * -1 + 7w * -1) = w -81 + 9w + (1 + -7w) = w Reorder the terms: -81 + 1 + 9w + -7w = w Combine like terms: -81 + 1 = -80 -80 + 9w + -7w = w Combine like terms: 9w + -7w = 2w -80 + 2w = w Solving -80 + 2w = w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -80 + 2w + -1w = w + -1w Combine like terms: 2w + -1w = 1w -80 + 1w = w + -1w Combine like terms: w + -1w = 0 -80 + 1w = 0 Add '80' to each side of the equation. -80 + 80 + 1w = 0 + 80 Combine like terms: -80 + 80 = 0 0 + 1w = 0 + 80 1w = 0 + 80 Combine like terms: 0 + 80 = 80 1w = 80 Divide each side by '1'. w = 80 Simplifying w = 80
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