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Simplifying -28 = 2(1 + 3n) + -1(3 + -3n) -28 = (1 * 2 + 3n * 2) + -1(3 + -3n) -28 = (2 + 6n) + -1(3 + -3n) -28 = 2 + 6n + (3 * -1 + -3n * -1) -28 = 2 + 6n + (-3 + 3n) Reorder the terms: -28 = 2 + -3 + 6n + 3n Combine like terms: 2 + -3 = -1 -28 = -1 + 6n + 3n Combine like terms: 6n + 3n = 9n -28 = -1 + 9n Solving -28 = -1 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -28 + -9n = -1 + 9n + -9n Combine like terms: 9n + -9n = 0 -28 + -9n = -1 + 0 -28 + -9n = -1 Add '28' to each side of the equation. -28 + 28 + -9n = -1 + 28 Combine like terms: -28 + 28 = 0 0 + -9n = -1 + 28 -9n = -1 + 28 Combine like terms: -1 + 28 = 27 -9n = 27 Divide each side by '-9'. n = -3 Simplifying n = -3
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