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Simplifying -6n + -20 = -2nd + 3(1 + -3n) Reorder the terms: -20 + -6n = -2nd + 3(1 + -3n) -20 + -6n = -2dn + (1 * 3 + -3n * 3) -20 + -6n = -2dn + (3 + -9n) Reorder the terms: -20 + -6n = 3 + -2dn + -9n Solving -20 + -6n = 3 + -2dn + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2dn' to each side of the equation. -20 + 2dn + -6n = 3 + -2dn + 2dn + -9n Combine like terms: -2dn + 2dn = 0 -20 + 2dn + -6n = 3 + 0 + -9n -20 + 2dn + -6n = 3 + -9n Add '9n' to each side of the equation. -20 + 2dn + -6n + 9n = 3 + -9n + 9n Combine like terms: -6n + 9n = 3n -20 + 2dn + 3n = 3 + -9n + 9n Combine like terms: -9n + 9n = 0 -20 + 2dn + 3n = 3 + 0 -20 + 2dn + 3n = 3 Add '20' to each side of the equation. -20 + 2dn + 20 + 3n = 3 + 20 Reorder the terms: -20 + 20 + 2dn + 3n = 3 + 20 Combine like terms: -20 + 20 = 0 0 + 2dn + 3n = 3 + 20 2dn + 3n = 3 + 20 Combine like terms: 3 + 20 = 23 2dn + 3n = 23 Reorder the terms: -23 + 2dn + 3n = 23 + -23 Combine like terms: 23 + -23 = 0 -23 + 2dn + 3n = 0 The solution to this equation could not be determined.
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