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Simplifying 9w + -35 = 7(w + -3) Reorder the terms: -35 + 9w = 7(w + -3) Reorder the terms: -35 + 9w = 7(-3 + w) -35 + 9w = (-3 * 7 + w * 7) -35 + 9w = (-21 + 7w) Solving -35 + 9w = -21 + 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. -35 + 9w + -7w = -21 + 7w + -7w Combine like terms: 9w + -7w = 2w -35 + 2w = -21 + 7w + -7w Combine like terms: 7w + -7w = 0 -35 + 2w = -21 + 0 -35 + 2w = -21 Add '35' to each side of the equation. -35 + 35 + 2w = -21 + 35 Combine like terms: -35 + 35 = 0 0 + 2w = -21 + 35 2w = -21 + 35 Combine like terms: -21 + 35 = 14 2w = 14 Divide each side by '2'. w = 7 Simplifying w = 7
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