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Simplifying 3(6w + 2) + -4(4w + -8) + 7w + -12 = 0 Reorder the terms: 3(2 + 6w) + -4(4w + -8) + 7w + -12 = 0 (2 * 3 + 6w * 3) + -4(4w + -8) + 7w + -12 = 0 (6 + 18w) + -4(4w + -8) + 7w + -12 = 0 Reorder the terms: 6 + 18w + -4(-8 + 4w) + 7w + -12 = 0 6 + 18w + (-8 * -4 + 4w * -4) + 7w + -12 = 0 6 + 18w + (32 + -16w) + 7w + -12 = 0 Reorder the terms: 6 + 32 + -12 + 18w + -16w + 7w = 0 Combine like terms: 6 + 32 = 38 38 + -12 + 18w + -16w + 7w = 0 Combine like terms: 38 + -12 = 26 26 + 18w + -16w + 7w = 0 Combine like terms: 18w + -16w = 2w 26 + 2w + 7w = 0 Combine like terms: 2w + 7w = 9w 26 + 9w = 0 Solving 26 + 9w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 9w = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 9w = 0 + -26 9w = 0 + -26 Combine like terms: 0 + -26 = -26 9w = -26 Divide each side by '9'. w = -2.888888889 Simplifying w = -2.888888889
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