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Simplifying 4(2.5d + 4) + 3(2d + -3) = 0 Reorder the terms: 4(4 + 2.5d) + 3(2d + -3) = 0 (4 * 4 + 2.5d * 4) + 3(2d + -3) = 0 (16 + 10d) + 3(2d + -3) = 0 Reorder the terms: 16 + 10d + 3(-3 + 2d) = 0 16 + 10d + (-3 * 3 + 2d * 3) = 0 16 + 10d + (-9 + 6d) = 0 Reorder the terms: 16 + -9 + 10d + 6d = 0 Combine like terms: 16 + -9 = 7 7 + 10d + 6d = 0 Combine like terms: 10d + 6d = 16d 7 + 16d = 0 Solving 7 + 16d = 0 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 + 16d = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 16d = 0 + -7 16d = 0 + -7 Combine like terms: 0 + -7 = -7 16d = -7 Divide each side by '16'. d = -0.4375 Simplifying d = -0.4375
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