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Simplifying 8(d + 2) + 3(d + -2) = 76 Reorder the terms: 8(2 + d) + 3(d + -2) = 76 (2 * 8 + d * 8) + 3(d + -2) = 76 (16 + 8d) + 3(d + -2) = 76 Reorder the terms: 16 + 8d + 3(-2 + d) = 76 16 + 8d + (-2 * 3 + d * 3) = 76 16 + 8d + (-6 + 3d) = 76 Reorder the terms: 16 + -6 + 8d + 3d = 76 Combine like terms: 16 + -6 = 10 10 + 8d + 3d = 76 Combine like terms: 8d + 3d = 11d 10 + 11d = 76 Solving 10 + 11d = 76 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 11d = 76 + -10 Combine like terms: 10 + -10 = 0 0 + 11d = 76 + -10 11d = 76 + -10 Combine like terms: 76 + -10 = 66 11d = 66 Divide each side by '11'. d = 6 Simplifying d = 6
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