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Simplifying 16 + 8d = -4(6d + 9) Reorder the terms: 16 + 8d = -4(9 + 6d) 16 + 8d = (9 * -4 + 6d * -4) 16 + 8d = (-36 + -24d) Solving 16 + 8d = -36 + -24d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '24d' to each side of the equation. 16 + 8d + 24d = -36 + -24d + 24d Combine like terms: 8d + 24d = 32d 16 + 32d = -36 + -24d + 24d Combine like terms: -24d + 24d = 0 16 + 32d = -36 + 0 16 + 32d = -36 Add '-16' to each side of the equation. 16 + -16 + 32d = -36 + -16 Combine like terms: 16 + -16 = 0 0 + 32d = -36 + -16 32d = -36 + -16 Combine like terms: -36 + -16 = -52 32d = -52 Divide each side by '32'. d = -1.625 Simplifying d = -1.625
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