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Simplifying 9w + -2 = 7(w + -2) Reorder the terms: -2 + 9w = 7(w + -2) Reorder the terms: -2 + 9w = 7(-2 + w) -2 + 9w = (-2 * 7 + w * 7) -2 + 9w = (-14 + 7w) Solving -2 + 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. -2 + 9w + -7w = -14 + 7w + -7w Combine like terms: 9w + -7w = 2w -2 + 2w = -14 + 7w + -7w Combine like terms: 7w + -7w = 0 -2 + 2w = -14 + 0 -2 + 2w = -14 Add '2' to each side of the equation. -2 + 2 + 2w = -14 + 2 Combine like terms: -2 + 2 = 0 0 + 2w = -14 + 2 2w = -14 + 2 Combine like terms: -14 + 2 = -12 2w = -12 Divide each side by '2'. w = -6 Simplifying w = -6
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