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Simplifying (5 + 3d) + (8 + 2n) = 0 Remove parenthesis around (5 + 3d) 5 + 3d + (8 + 2n) = 0 Remove parenthesis around (8 + 2n) 5 + 3d + 8 + 2n = 0 Reorder the terms: 5 + 8 + 3d + 2n = 0 Combine like terms: 5 + 8 = 13 13 + 3d + 2n = 0 Solving 13 + 3d + 2n = 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 + 3d + -13 + 2n = 0 + -13 Reorder the terms: 13 + -13 + 3d + 2n = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 3d + 2n = 0 + -13 3d + 2n = 0 + -13 Combine like terms: 0 + -13 = -13 3d + 2n = -13 Add '-2n' to each side of the equation. 3d + 2n + -2n = -13 + -2n Combine like terms: 2n + -2n = 0 3d + 0 = -13 + -2n 3d = -13 + -2n Divide each side by '3'. d = -4.333333333 + -0.6666666667n Simplifying d = -4.333333333 + -0.6666666667n
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