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Simplifying (34d + 10 + -15d) + -1(9d + -9 + 4) = 0 Reorder the terms: (10 + 34d + -15d) + -1(9d + -9 + 4) = 0 Combine like terms: 34d + -15d = 19d (10 + 19d) + -1(9d + -9 + 4) = 0 Remove parenthesis around (10 + 19d) 10 + 19d + -1(9d + -9 + 4) = 0 Reorder the terms: 10 + 19d + -1(-9 + 4 + 9d) = 0 Combine like terms: -9 + 4 = -5 10 + 19d + -1(-5 + 9d) = 0 10 + 19d + (-5 * -1 + 9d * -1) = 0 10 + 19d + (5 + -9d) = 0 Reorder the terms: 10 + 5 + 19d + -9d = 0 Combine like terms: 10 + 5 = 15 15 + 19d + -9d = 0 Combine like terms: 19d + -9d = 10d 15 + 10d = 0 Solving 15 + 10d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 10d = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 10d = 0 + -15 10d = 0 + -15 Combine like terms: 0 + -15 = -15 10d = -15 Divide each side by '10'. d = -1.5 Simplifying d = -1.5
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