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Simplifying -9d + -8 = 2(d + 4) + -7d Reorder the terms: -8 + -9d = 2(d + 4) + -7d Reorder the terms: -8 + -9d = 2(4 + d) + -7d -8 + -9d = (4 * 2 + d * 2) + -7d -8 + -9d = (8 + 2d) + -7d Combine like terms: 2d + -7d = -5d -8 + -9d = 8 + -5d Solving -8 + -9d = 8 + -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 = 8 + -5d + 5d Combine like terms: -9d + 5d = -4d -8 + -4d = 8 + -5d + 5d Combine like terms: -5d + 5d = 0 -8 + -4d = 8 + 0 -8 + -4d = 8 Add '8' to each side of the equation. -8 + 8 + -4d = 8 + 8 Combine like terms: -8 + 8 = 0 0 + -4d = 8 + 8 -4d = 8 + 8 Combine like terms: 8 + 8 = 16 -4d = 16 Divide each side by '-4'. d = -4 Simplifying d = -4
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