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Simplifying 8 + 7d + -5 = 10d + -6 Reorder the terms: 8 + -5 + 7d = 10d + -6 Combine like terms: 8 + -5 = 3 3 + 7d = 10d + -6 Reorder the terms: 3 + 7d = -6 + 10d Solving 3 + 7d = -6 + 10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10d' to each side of the equation. 3 + 7d + -10d = -6 + 10d + -10d Combine like terms: 7d + -10d = -3d 3 + -3d = -6 + 10d + -10d Combine like terms: 10d + -10d = 0 3 + -3d = -6 + 0 3 + -3d = -6 Add '-3' to each side of the equation. 3 + -3 + -3d = -6 + -3 Combine like terms: 3 + -3 = 0 0 + -3d = -6 + -3 -3d = -6 + -3 Combine like terms: -6 + -3 = -9 -3d = -9 Divide each side by '-3'. d = 3 Simplifying d = 3
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