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Simplifying -7d + -8 + 2(d + 12) = 52 Reorder the terms: -7d + -8 + 2(12 + d) = 52 -7d + -8 + (12 * 2 + d * 2) = 52 -7d + -8 + (24 + 2d) = 52 Reorder the terms: -8 + 24 + -7d + 2d = 52 Combine like terms: -8 + 24 = 16 16 + -7d + 2d = 52 Combine like terms: -7d + 2d = -5d 16 + -5d = 52 Solving 16 + -5d = 52 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -5d = 52 + -16 Combine like terms: 16 + -16 = 0 0 + -5d = 52 + -16 -5d = 52 + -16 Combine like terms: 52 + -16 = 36 -5d = 36 Divide each side by '-5'. d = -7.2 Simplifying d = -7.2
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