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Simplifying -32 + 8d = -7(4d + -5) Reorder the terms: -32 + 8d = -7(-5 + 4d) -32 + 8d = (-5 * -7 + 4d * -7) -32 + 8d = (35 + -28d) Solving -32 + 8d = 35 + -28d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '28d' to each side of the equation. -32 + 8d + 28d = 35 + -28d + 28d Combine like terms: 8d + 28d = 36d -32 + 36d = 35 + -28d + 28d Combine like terms: -28d + 28d = 0 -32 + 36d = 35 + 0 -32 + 36d = 35 Add '32' to each side of the equation. -32 + 32 + 36d = 35 + 32 Combine like terms: -32 + 32 = 0 0 + 36d = 35 + 32 36d = 35 + 32 Combine like terms: 35 + 32 = 67 36d = 67 Divide each side by '36'. d = 1.861111111 Simplifying d = 1.861111111
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