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Simplifying (3n + 7) + (4d + 6) = 0 Reorder the terms: (7 + 3n) + (4d + 6) = 0 Remove parenthesis around (7 + 3n) 7 + 3n + (4d + 6) = 0 Reorder the terms: 7 + 3n + (6 + 4d) = 0 Remove parenthesis around (6 + 4d) 7 + 3n + 6 + 4d = 0 Reorder the terms: 7 + 6 + 4d + 3n = 0 Combine like terms: 7 + 6 = 13 13 + 4d + 3n = 0 Solving 13 + 4d + 3n = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + 4d + -13 + 3n = 0 + -13 Reorder the terms: 13 + -13 + 4d + 3n = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 4d + 3n = 0 + -13 4d + 3n = 0 + -13 Combine like terms: 0 + -13 = -13 4d + 3n = -13 Add '-3n' to each side of the equation. 4d + 3n + -3n = -13 + -3n Combine like terms: 3n + -3n = 0 4d + 0 = -13 + -3n 4d = -13 + -3n Divide each side by '4'. d = -3.25 + -0.75n Simplifying d = -3.25 + -0.75n
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