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Simplifying -30 + d + -12 + 6d = 0 Reorder the terms: -30 + -12 + d + 6d = 0 Combine like terms: -30 + -12 = -42 -42 + d + 6d = 0 Combine like terms: d + 6d = 7d -42 + 7d = 0 Solving -42 + 7d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 7d = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 7d = 0 + 42 7d = 0 + 42 Combine like terms: 0 + 42 = 42 7d = 42 Divide each side by '7'. d = 6 Simplifying d = 6
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