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Simplifying 17 = -4[8d + 6] Reorder the terms: 17 = -4[6 + 8d] 17 = [6 * -4 + 8d * -4] 17 = [-24 + -32d] Solving 17 = -24 + -32d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '32d' to each side of the equation. 17 + 32d = -24 + -32d + 32d Combine like terms: -32d + 32d = 0 17 + 32d = -24 + 0 17 + 32d = -24 Add '-17' to each side of the equation. 17 + -17 + 32d = -24 + -17 Combine like terms: 17 + -17 = 0 0 + 32d = -24 + -17 32d = -24 + -17 Combine like terms: -24 + -17 = -41 32d = -41 Divide each side by '32'. d = -1.28125 Simplifying d = -1.28125
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