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Simplifying -8(2n + 7) = -22 + -4n Reorder the terms: -8(7 + 2n) = -22 + -4n (7 * -8 + 2n * -8) = -22 + -4n (-56 + -16n) = -22 + -4n Solving -56 + -16n = -22 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -56 + -16n + 4n = -22 + -4n + 4n Combine like terms: -16n + 4n = -12n -56 + -12n = -22 + -4n + 4n Combine like terms: -4n + 4n = 0 -56 + -12n = -22 + 0 -56 + -12n = -22 Add '56' to each side of the equation. -56 + 56 + -12n = -22 + 56 Combine like terms: -56 + 56 = 0 0 + -12n = -22 + 56 -12n = -22 + 56 Combine like terms: -22 + 56 = 34 -12n = 34 Divide each side by '-12'. n = -2.833333333 Simplifying n = -2.833333333
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