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Simplifying (4 + 4d) + (9 + 5n) = 0 Remove parenthesis around (4 + 4d) 4 + 4d + (9 + 5n) = 0 Remove parenthesis around (9 + 5n) 4 + 4d + 9 + 5n = 0 Reorder the terms: 4 + 9 + 4d + 5n = 0 Combine like terms: 4 + 9 = 13 13 + 4d + 5n = 0 Solving 13 + 4d + 5n = 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 + 5n = 0 + -13 Reorder the terms: 13 + -13 + 4d + 5n = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 4d + 5n = 0 + -13 4d + 5n = 0 + -13 Combine like terms: 0 + -13 = -13 4d + 5n = -13 Add '-5n' to each side of the equation. 4d + 5n + -5n = -13 + -5n Combine like terms: 5n + -5n = 0 4d + 0 = -13 + -5n 4d = -13 + -5n Divide each side by '4'. d = -3.25 + -1.25n Simplifying d = -3.25 + -1.25n
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