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Simplifying 9 + -2(1 + 4d) = -25 9 + (1 * -2 + 4d * -2) = -25 9 + (-2 + -8d) = -25 Combine like terms: 9 + -2 = 7 7 + -8d = -25 Solving 7 + -8d = -25 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -8d = -25 + -7 Combine like terms: 7 + -7 = 0 0 + -8d = -25 + -7 -8d = -25 + -7 Combine like terms: -25 + -7 = -32 -8d = -32 Divide each side by '-8'. d = 4 Simplifying d = 4
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