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Simplifying 8(7n + -5) + 4(1 + -3n) = -80 Reorder the terms: 8(-5 + 7n) + 4(1 + -3n) = -80 (-5 * 8 + 7n * 8) + 4(1 + -3n) = -80 (-40 + 56n) + 4(1 + -3n) = -80 -40 + 56n + (1 * 4 + -3n * 4) = -80 -40 + 56n + (4 + -12n) = -80 Reorder the terms: -40 + 4 + 56n + -12n = -80 Combine like terms: -40 + 4 = -36 -36 + 56n + -12n = -80 Combine like terms: 56n + -12n = 44n -36 + 44n = -80 Solving -36 + 44n = -80 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 44n = -80 + 36 Combine like terms: -36 + 36 = 0 0 + 44n = -80 + 36 44n = -80 + 36 Combine like terms: -80 + 36 = -44 44n = -44 Divide each side by '44'. n = -1 Simplifying n = -1
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