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Simplifying (9w + -2) + (-3w + 9) = 0 Reorder the terms: (-2 + 9w) + (-3w + 9) = 0 Remove parenthesis around (-2 + 9w) -2 + 9w + (-3w + 9) = 0 Reorder the terms: -2 + 9w + (9 + -3w) = 0 Remove parenthesis around (9 + -3w) -2 + 9w + 9 + -3w = 0 Reorder the terms: -2 + 9 + 9w + -3w = 0 Combine like terms: -2 + 9 = 7 7 + 9w + -3w = 0 Combine like terms: 9w + -3w = 6w 7 + 6w = 0 Solving 7 + 6w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 6w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6w = 0 + -7 6w = 0 + -7 Combine like terms: 0 + -7 = -7 6w = -7 Divide each side by '6'. w = -1.166666667 Simplifying w = -1.166666667
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