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Simplifying 3(8 + -1w) + 2(w + 2) = 34 (8 * 3 + -1w * 3) + 2(w + 2) = 34 (24 + -3w) + 2(w + 2) = 34 Reorder the terms: 24 + -3w + 2(2 + w) = 34 24 + -3w + (2 * 2 + w * 2) = 34 24 + -3w + (4 + 2w) = 34 Reorder the terms: 24 + 4 + -3w + 2w = 34 Combine like terms: 24 + 4 = 28 28 + -3w + 2w = 34 Combine like terms: -3w + 2w = -1w 28 + -1w = 34 Solving 28 + -1w = 34 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -1w = 34 + -28 Combine like terms: 28 + -28 = 0 0 + -1w = 34 + -28 -1w = 34 + -28 Combine like terms: 34 + -28 = 6 -1w = 6 Divide each side by '-1'. w = -6 Simplifying w = -6
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