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Simplifying -7(n + 6) + -1(3 + 9n) = -17n Reorder the terms: -7(6 + n) + -1(3 + 9n) = -17n (6 * -7 + n * -7) + -1(3 + 9n) = -17n (-42 + -7n) + -1(3 + 9n) = -17n -42 + -7n + (3 * -1 + 9n * -1) = -17n -42 + -7n + (-3 + -9n) = -17n Reorder the terms: -42 + -3 + -7n + -9n = -17n Combine like terms: -42 + -3 = -45 -45 + -7n + -9n = -17n Combine like terms: -7n + -9n = -16n -45 + -16n = -17n Solving -45 + -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. -45 + -16n + 17n = -17n + 17n Combine like terms: -16n + 17n = 1n -45 + 1n = -17n + 17n Combine like terms: -17n + 17n = 0 -45 + 1n = 0 Add '45' to each side of the equation. -45 + 45 + 1n = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 1n = 0 + 45 1n = 0 + 45 Combine like terms: 0 + 45 = 45 1n = 45 Divide each side by '1'. n = 45 Simplifying n = 45
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