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Simplifying 3w + -1(2w + 7) + 9 = 8 Reorder the terms: 3w + -1(7 + 2w) + 9 = 8 3w + (7 * -1 + 2w * -1) + 9 = 8 3w + (-7 + -2w) + 9 = 8 Reorder the terms: -7 + 9 + 3w + -2w = 8 Combine like terms: -7 + 9 = 2 2 + 3w + -2w = 8 Combine like terms: 3w + -2w = 1w 2 + 1w = 8 Solving 2 + 1w = 8 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 + 1w = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 1w = 8 + -2 1w = 8 + -2 Combine like terms: 8 + -2 = 6 1w = 6 Divide each side by '1'. w = 6 Simplifying w = 6
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