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Simplifying -31 + 5d = -4(2d + 8) Reorder the terms: -31 + 5d = -4(8 + 2d) -31 + 5d = (8 * -4 + 2d * -4) -31 + 5d = (-32 + -8d) Solving -31 + 5d = -32 + -8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '8d' to each side of the equation. -31 + 5d + 8d = -32 + -8d + 8d Combine like terms: 5d + 8d = 13d -31 + 13d = -32 + -8d + 8d Combine like terms: -8d + 8d = 0 -31 + 13d = -32 + 0 -31 + 13d = -32 Add '31' to each side of the equation. -31 + 31 + 13d = -32 + 31 Combine like terms: -31 + 31 = 0 0 + 13d = -32 + 31 13d = -32 + 31 Combine like terms: -32 + 31 = -1 13d = -1 Divide each side by '13'. d = -0.07692307692 Simplifying d = -0.07692307692
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