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Simplifying 9(w + 5) + -1(2w + -7) = 6w Reorder the terms: 9(5 + w) + -1(2w + -7) = 6w (5 * 9 + w * 9) + -1(2w + -7) = 6w (45 + 9w) + -1(2w + -7) = 6w Reorder the terms: 45 + 9w + -1(-7 + 2w) = 6w 45 + 9w + (-7 * -1 + 2w * -1) = 6w 45 + 9w + (7 + -2w) = 6w Reorder the terms: 45 + 7 + 9w + -2w = 6w Combine like terms: 45 + 7 = 52 52 + 9w + -2w = 6w Combine like terms: 9w + -2w = 7w 52 + 7w = 6w Solving 52 + 7w = 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 52 + 7w + -6w = 6w + -6w Combine like terms: 7w + -6w = 1w 52 + 1w = 6w + -6w Combine like terms: 6w + -6w = 0 52 + 1w = 0 Add '-52' to each side of the equation. 52 + -52 + 1w = 0 + -52 Combine like terms: 52 + -52 = 0 0 + 1w = 0 + -52 1w = 0 + -52 Combine like terms: 0 + -52 = -52 1w = -52 Divide each side by '1'. w = -52 Simplifying w = -52
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