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Simplifying d + 5(d + -1) = 7 Reorder the terms: d + 5(-1 + d) = 7 d + (-1 * 5 + d * 5) = 7 d + (-5 + 5d) = 7 Reorder the terms: -5 + d + 5d = 7 Combine like terms: d + 5d = 6d -5 + 6d = 7 Solving -5 + 6d = 7 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 + 6d = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 6d = 7 + 5 6d = 7 + 5 Combine like terms: 7 + 5 = 12 6d = 12 Divide each side by '6'. d = 2 Simplifying d = 2
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