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Simplifying 6(d + -5) + 7 = 0 Reorder the terms: 6(-5 + d) + 7 = 0 (-5 * 6 + d * 6) + 7 = 0 (-30 + 6d) + 7 = 0 Reorder the terms: -30 + 7 + 6d = 0 Combine like terms: -30 + 7 = -23 -23 + 6d = 0 Solving -23 + 6d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 6d = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 6d = 0 + 23 6d = 0 + 23 Combine like terms: 0 + 23 = 23 6d = 23 Divide each side by '6'. d = 3.833333333 Simplifying d = 3.833333333
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