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Simplifying 9w + -30 = 7(w + -2) Reorder the terms: -30 + 9w = 7(w + -2) Reorder the terms: -30 + 9w = 7(-2 + w) -30 + 9w = (-2 * 7 + w * 7) -30 + 9w = (-14 + 7w) Solving -30 + 9w = -14 + 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. -30 + 9w + -7w = -14 + 7w + -7w Combine like terms: 9w + -7w = 2w -30 + 2w = -14 + 7w + -7w Combine like terms: 7w + -7w = 0 -30 + 2w = -14 + 0 -30 + 2w = -14 Add '30' to each side of the equation. -30 + 30 + 2w = -14 + 30 Combine like terms: -30 + 30 = 0 0 + 2w = -14 + 30 2w = -14 + 30 Combine like terms: -14 + 30 = 16 2w = 16 Divide each side by '2'. w = 8 Simplifying w = 8
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