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Simplifying -9(n + 3) + -1(1 + 7n) = -17n Reorder the terms: -9(3 + n) + -1(1 + 7n) = -17n (3 * -9 + n * -9) + -1(1 + 7n) = -17n (-27 + -9n) + -1(1 + 7n) = -17n -27 + -9n + (1 * -1 + 7n * -1) = -17n -27 + -9n + (-1 + -7n) = -17n Reorder the terms: -27 + -1 + -9n + -7n = -17n Combine like terms: -27 + -1 = -28 -28 + -9n + -7n = -17n Combine like terms: -9n + -7n = -16n -28 + -16n = -17n Solving -28 + -16n = -17n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '17n' to each side of the equation. -28 + -16n + 17n = -17n + 17n Combine like terms: -16n + 17n = 1n -28 + 1n = -17n + 17n Combine like terms: -17n + 17n = 0 -28 + 1n = 0 Add '28' to each side of the equation. -28 + 28 + 1n = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 1n = 0 + 28 1n = 0 + 28 Combine like terms: 0 + 28 = 28 1n = 28 Divide each side by '1'. n = 28 Simplifying n = 28
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