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Simplifying 9 + 3(1 + -7d) = -24 9 + (1 * 3 + -7d * 3) = -24 9 + (3 + -21d) = -24 Combine like terms: 9 + 3 = 12 12 + -21d = -24 Solving 12 + -21d = -24 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -21d = -24 + -12 Combine like terms: 12 + -12 = 0 0 + -21d = -24 + -12 -21d = -24 + -12 Combine like terms: -24 + -12 = -36 -21d = -36 Divide each side by '-21'. d = 1.714285714 Simplifying d = 1.714285714
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