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Simplifying 7 + 8(1 + -4d) = 25 7 + (1 * 8 + -4d * 8) = 25 7 + (8 + -32d) = 25 Combine like terms: 7 + 8 = 15 15 + -32d = 25 Solving 15 + -32d = 25 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 + -32d = 25 + -15 Combine like terms: 15 + -15 = 0 0 + -32d = 25 + -15 -32d = 25 + -15 Combine like terms: 25 + -15 = 10 -32d = 10 Divide each side by '-32'. d = -0.3125 Simplifying d = -0.3125
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