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Simplifying (7 + 2d) + (8 + 3n) = 0 Remove parenthesis around (7 + 2d) 7 + 2d + (8 + 3n) = 0 Remove parenthesis around (8 + 3n) 7 + 2d + 8 + 3n = 0 Reorder the terms: 7 + 8 + 2d + 3n = 0 Combine like terms: 7 + 8 = 15 15 + 2d + 3n = 0 Solving 15 + 2d + 3n = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 2d + -15 + 3n = 0 + -15 Reorder the terms: 15 + -15 + 2d + 3n = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 2d + 3n = 0 + -15 2d + 3n = 0 + -15 Combine like terms: 0 + -15 = -15 2d + 3n = -15 Add '-3n' to each side of the equation. 2d + 3n + -3n = -15 + -3n Combine like terms: 3n + -3n = 0 2d + 0 = -15 + -3n 2d = -15 + -3n Divide each side by '2'. d = -7.5 + -1.5n Simplifying d = -7.5 + -1.5n
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