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Simplifying -7(n + 3) + -1(9n + -2) = -17n Reorder the terms: -7(3 + n) + -1(9n + -2) = -17n (3 * -7 + n * -7) + -1(9n + -2) = -17n (-21 + -7n) + -1(9n + -2) = -17n Reorder the terms: -21 + -7n + -1(-2 + 9n) = -17n -21 + -7n + (-2 * -1 + 9n * -1) = -17n -21 + -7n + (2 + -9n) = -17n Reorder the terms: -21 + 2 + -7n + -9n = -17n Combine like terms: -21 + 2 = -19 -19 + -7n + -9n = -17n Combine like terms: -7n + -9n = -16n -19 + -16n = -17n Solving -19 + -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. -19 + -16n + 17n = -17n + 17n Combine like terms: -16n + 17n = 1n -19 + 1n = -17n + 17n Combine like terms: -17n + 17n = 0 -19 + 1n = 0 Add '19' to each side of the equation. -19 + 19 + 1n = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 1n = 0 + 19 1n = 0 + 19 Combine like terms: 0 + 19 = 19 1n = 19 Divide each side by '1'. n = 19 Simplifying n = 19
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