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Simplifying 10d + 10 = 5d + 45 Reorder the terms: 10 + 10d = 5d + 45 Reorder the terms: 10 + 10d = 45 + 5d Solving 10 + 10d = 45 + 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. 10 + 10d + -5d = 45 + 5d + -5d Combine like terms: 10d + -5d = 5d 10 + 5d = 45 + 5d + -5d Combine like terms: 5d + -5d = 0 10 + 5d = 45 + 0 10 + 5d = 45 Add '-10' to each side of the equation. 10 + -10 + 5d = 45 + -10 Combine like terms: 10 + -10 = 0 0 + 5d = 45 + -10 5d = 45 + -10 Combine like terms: 45 + -10 = 35 5d = 35 Divide each side by '5'. d = 7 Simplifying d = 7
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