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Simplifying 6(3 + -1d) + 12 = 0 (3 * 6 + -1d * 6) + 12 = 0 (18 + -6d) + 12 = 0 Reorder the terms: 18 + 12 + -6d = 0 Combine like terms: 18 + 12 = 30 30 + -6d = 0 Solving 30 + -6d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -6d = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -6d = 0 + -30 -6d = 0 + -30 Combine like terms: 0 + -30 = -30 -6d = -30 Divide each side by '-6'. d = 5 Simplifying d = 5
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