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Simplifying 9(w + -7) = 2w + -35 Reorder the terms: 9(-7 + w) = 2w + -35 (-7 * 9 + w * 9) = 2w + -35 (-63 + 9w) = 2w + -35 Reorder the terms: -63 + 9w = -35 + 2w Solving -63 + 9w = -35 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -63 + 9w + -2w = -35 + 2w + -2w Combine like terms: 9w + -2w = 7w -63 + 7w = -35 + 2w + -2w Combine like terms: 2w + -2w = 0 -63 + 7w = -35 + 0 -63 + 7w = -35 Add '63' to each side of the equation. -63 + 63 + 7w = -35 + 63 Combine like terms: -63 + 63 = 0 0 + 7w = -35 + 63 7w = -35 + 63 Combine like terms: -35 + 63 = 28 7w = 28 Divide each side by '7'. w = 4 Simplifying w = 4
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