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Simplifying -9(w + -1) + -1(-3w + -5) = -7w Reorder the terms: -9(-1 + w) + -1(-3w + -5) = -7w (-1 * -9 + w * -9) + -1(-3w + -5) = -7w (9 + -9w) + -1(-3w + -5) = -7w Reorder the terms: 9 + -9w + -1(-5 + -3w) = -7w 9 + -9w + (-5 * -1 + -3w * -1) = -7w 9 + -9w + (5 + 3w) = -7w Reorder the terms: 9 + 5 + -9w + 3w = -7w Combine like terms: 9 + 5 = 14 14 + -9w + 3w = -7w Combine like terms: -9w + 3w = -6w 14 + -6w = -7w Solving 14 + -6w = -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. 14 + -6w + 7w = -7w + 7w Combine like terms: -6w + 7w = 1w 14 + 1w = -7w + 7w Combine like terms: -7w + 7w = 0 14 + 1w = 0 Add '-14' to each side of the equation. 14 + -14 + 1w = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 1w = 0 + -14 1w = 0 + -14 Combine like terms: 0 + -14 = -14 1w = -14 Divide each side by '1'. w = -14 Simplifying w = -14
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