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Simplifying -7(n + 4) + -1(7 + 9n) = -17 Reorder the terms: -7(4 + n) + -1(7 + 9n) = -17 (4 * -7 + n * -7) + -1(7 + 9n) = -17 (-28 + -7n) + -1(7 + 9n) = -17 -28 + -7n + (7 * -1 + 9n * -1) = -17 -28 + -7n + (-7 + -9n) = -17 Reorder the terms: -28 + -7 + -7n + -9n = -17 Combine like terms: -28 + -7 = -35 -35 + -7n + -9n = -17 Combine like terms: -7n + -9n = -16n -35 + -16n = -17 Solving -35 + -16n = -17 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -16n = -17 + 35 Combine like terms: -35 + 35 = 0 0 + -16n = -17 + 35 -16n = -17 + 35 Combine like terms: -17 + 35 = 18 -16n = 18 Divide each side by '-16'. n = -1.125 Simplifying n = -1.125
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