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Simplifying 2(w + 7) + 6(3w + -1) = 0 Reorder the terms: 2(7 + w) + 6(3w + -1) = 0 (7 * 2 + w * 2) + 6(3w + -1) = 0 (14 + 2w) + 6(3w + -1) = 0 Reorder the terms: 14 + 2w + 6(-1 + 3w) = 0 14 + 2w + (-1 * 6 + 3w * 6) = 0 14 + 2w + (-6 + 18w) = 0 Reorder the terms: 14 + -6 + 2w + 18w = 0 Combine like terms: 14 + -6 = 8 8 + 2w + 18w = 0 Combine like terms: 2w + 18w = 20w 8 + 20w = 0 Solving 8 + 20w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 20w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 20w = 0 + -8 20w = 0 + -8 Combine like terms: 0 + -8 = -8 20w = -8 Divide each side by '20'. w = -0.4 Simplifying w = -0.4
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