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Simplifying 10d + -3(9 + -12d) = 95 10d + (9 * -3 + -12d * -3) = 95 10d + (-27 + 36d) = 95 Reorder the terms: -27 + 10d + 36d = 95 Combine like terms: 10d + 36d = 46d -27 + 46d = 95 Solving -27 + 46d = 95 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 46d = 95 + 27 Combine like terms: -27 + 27 = 0 0 + 46d = 95 + 27 46d = 95 + 27 Combine like terms: 95 + 27 = 122 46d = 122 Divide each side by '46'. d = 2.652173913 Simplifying d = 2.652173913
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