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Simplifying 12 + -1(6 + -4d) = 25 + -9d 12 + (6 * -1 + -4d * -1) = 25 + -9d 12 + (-6 + 4d) = 25 + -9d Combine like terms: 12 + -6 = 6 6 + 4d = 25 + -9d Solving 6 + 4d = 25 + -9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '9d' to each side of the equation. 6 + 4d + 9d = 25 + -9d + 9d Combine like terms: 4d + 9d = 13d 6 + 13d = 25 + -9d + 9d Combine like terms: -9d + 9d = 0 6 + 13d = 25 + 0 6 + 13d = 25 Add '-6' to each side of the equation. 6 + -6 + 13d = 25 + -6 Combine like terms: 6 + -6 = 0 0 + 13d = 25 + -6 13d = 25 + -6 Combine like terms: 25 + -6 = 19 13d = 19 Divide each side by '13'. d = 1.461538462 Simplifying d = 1.461538462
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