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Simplifying 7 = 9w + -2w Combine like terms: 9w + -2w = 7w 7 = 7w Solving 7 = 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. 7 + -7w = 7w + -7w Combine like terms: 7w + -7w = 0 7 + -7w = 0 Add '-7' to each side of the equation. 7 + -7 + -7w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -7w = 0 + -7 -7w = 0 + -7 Combine like terms: 0 + -7 = -7 -7w = -7 Divide each side by '-7'. w = 1 Simplifying w = 1
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