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Simplifying 7w + 3w2 + 2 = 3w2 + 9 Reorder the terms: 2 + 7w + 3w2 = 3w2 + 9 Reorder the terms: 2 + 7w + 3w2 = 9 + 3w2 Add '-3w2' to each side of the equation. 2 + 7w + 3w2 + -3w2 = 9 + 3w2 + -3w2 Combine like terms: 3w2 + -3w2 = 0 2 + 7w + 0 = 9 + 3w2 + -3w2 2 + 7w = 9 + 3w2 + -3w2 Combine like terms: 3w2 + -3w2 = 0 2 + 7w = 9 + 0 2 + 7w = 9 Solving 2 + 7w = 9 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7w = 9 + -2 Combine like terms: 2 + -2 = 0 0 + 7w = 9 + -2 7w = 9 + -2 Combine like terms: 9 + -2 = 7 7w = 7 Divide each side by '7'. w = 1 Simplifying w = 1
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