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Simplifying 2d + 10 = 7d + -10 Reorder the terms: 10 + 2d = 7d + -10 Reorder the terms: 10 + 2d = -10 + 7d Solving 10 + 2d = -10 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. 10 + 2d + -7d = -10 + 7d + -7d Combine like terms: 2d + -7d = -5d 10 + -5d = -10 + 7d + -7d Combine like terms: 7d + -7d = 0 10 + -5d = -10 + 0 10 + -5d = -10 Add '-10' to each side of the equation. 10 + -10 + -5d = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -5d = -10 + -10 -5d = -10 + -10 Combine like terms: -10 + -10 = -20 -5d = -20 Divide each side by '-5'. d = 4 Simplifying d = 4
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