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Simplifying 6d + 1 = 15 + -1d Reorder the terms: 1 + 6d = 15 + -1d Solving 1 + 6d = 15 + -1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add 'd' to each side of the equation. 1 + 6d + d = 15 + -1d + d Combine like terms: 6d + d = 7d 1 + 7d = 15 + -1d + d Combine like terms: -1d + d = 0 1 + 7d = 15 + 0 1 + 7d = 15 Add '-1' to each side of the equation. 1 + -1 + 7d = 15 + -1 Combine like terms: 1 + -1 = 0 0 + 7d = 15 + -1 7d = 15 + -1 Combine like terms: 15 + -1 = 14 7d = 14 Divide each side by '7'. d = 2 Simplifying d = 2
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