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Simplifying 7(9d + 12) + 4(7d + -3) = 0 Reorder the terms: 7(12 + 9d) + 4(7d + -3) = 0 (12 * 7 + 9d * 7) + 4(7d + -3) = 0 (84 + 63d) + 4(7d + -3) = 0 Reorder the terms: 84 + 63d + 4(-3 + 7d) = 0 84 + 63d + (-3 * 4 + 7d * 4) = 0 84 + 63d + (-12 + 28d) = 0 Reorder the terms: 84 + -12 + 63d + 28d = 0 Combine like terms: 84 + -12 = 72 72 + 63d + 28d = 0 Combine like terms: 63d + 28d = 91d 72 + 91d = 0 Solving 72 + 91d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + 91d = 0 + -72 Combine like terms: 72 + -72 = 0 0 + 91d = 0 + -72 91d = 0 + -72 Combine like terms: 0 + -72 = -72 91d = -72 Divide each side by '91'. d = -0.7912087912 Simplifying d = -0.7912087912
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