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Simplifying 3w + 3(6w + 8) = -102 Reorder the terms: 3w + 3(8 + 6w) = -102 3w + (8 * 3 + 6w * 3) = -102 3w + (24 + 18w) = -102 Reorder the terms: 24 + 3w + 18w = -102 Combine like terms: 3w + 18w = 21w 24 + 21w = -102 Solving 24 + 21w = -102 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 21w = -102 + -24 Combine like terms: 24 + -24 = 0 0 + 21w = -102 + -24 21w = -102 + -24 Combine like terms: -102 + -24 = -126 21w = -126 Divide each side by '21'. w = -6 Simplifying w = -6
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