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Simplifying 5(d + 1) = 45 Reorder the terms: 5(1 + d) = 45 (1 * 5 + d * 5) = 45 (5 + 5d) = 45 Solving 5 + 5d = 45 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 5d = 45 + -5 Combine like terms: 5 + -5 = 0 0 + 5d = 45 + -5 5d = 45 + -5 Combine like terms: 45 + -5 = 40 5d = 40 Divide each side by '5'. d = 8 Simplifying d = 8
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