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Simplifying -8(2n + -5) = -2n + -44 Reorder the terms: -8(-5 + 2n) = -2n + -44 (-5 * -8 + 2n * -8) = -2n + -44 (40 + -16n) = -2n + -44 Reorder the terms: 40 + -16n = -44 + -2n Solving 40 + -16n = -44 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 40 + -16n + 2n = -44 + -2n + 2n Combine like terms: -16n + 2n = -14n 40 + -14n = -44 + -2n + 2n Combine like terms: -2n + 2n = 0 40 + -14n = -44 + 0 40 + -14n = -44 Add '-40' to each side of the equation. 40 + -40 + -14n = -44 + -40 Combine like terms: 40 + -40 = 0 0 + -14n = -44 + -40 -14n = -44 + -40 Combine like terms: -44 + -40 = -84 -14n = -84 Divide each side by '-14'. n = 6 Simplifying n = 6
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