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Simplifying -32 + 6d = -7(8d + -5) Reorder the terms: -32 + 6d = -7(-5 + 8d) -32 + 6d = (-5 * -7 + 8d * -7) -32 + 6d = (35 + -56d) Solving -32 + 6d = 35 + -56d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '56d' to each side of the equation. -32 + 6d + 56d = 35 + -56d + 56d Combine like terms: 6d + 56d = 62d -32 + 62d = 35 + -56d + 56d Combine like terms: -56d + 56d = 0 -32 + 62d = 35 + 0 -32 + 62d = 35 Add '32' to each side of the equation. -32 + 32 + 62d = 35 + 32 Combine like terms: -32 + 32 = 0 0 + 62d = 35 + 32 62d = 35 + 32 Combine like terms: 35 + 32 = 67 62d = 67 Divide each side by '62'. d = 1.080645161 Simplifying d = 1.080645161
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