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Simplifying -9d + -8 = -4(6 + 2) + -5d Reorder the terms: -8 + -9d = -4(6 + 2) + -5d Combine like terms: 6 + 2 = 8 -8 + -9d = -4(8) + -5d Multiply -4 * 8 -8 + -9d = -32 + -5d Solving -8 + -9d = -32 + -5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '5d' to each side of the equation. -8 + -9d + 5d = -32 + -5d + 5d Combine like terms: -9d + 5d = -4d -8 + -4d = -32 + -5d + 5d Combine like terms: -5d + 5d = 0 -8 + -4d = -32 + 0 -8 + -4d = -32 Add '8' to each side of the equation. -8 + 8 + -4d = -32 + 8 Combine like terms: -8 + 8 = 0 0 + -4d = -32 + 8 -4d = -32 + 8 Combine like terms: -32 + 8 = -24 -4d = -24 Divide each side by '-4'. d = 6 Simplifying d = 6
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