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Simplifying -6 + -1n = -5(8 + -4n) + -4n -6 + -1n = (8 * -5 + -4n * -5) + -4n -6 + -1n = (-40 + 20n) + -4n Combine like terms: 20n + -4n = 16n -6 + -1n = -40 + 16n Solving -6 + -1n = -40 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. -6 + -1n + -16n = -40 + 16n + -16n Combine like terms: -1n + -16n = -17n -6 + -17n = -40 + 16n + -16n Combine like terms: 16n + -16n = 0 -6 + -17n = -40 + 0 -6 + -17n = -40 Add '6' to each side of the equation. -6 + 6 + -17n = -40 + 6 Combine like terms: -6 + 6 = 0 0 + -17n = -40 + 6 -17n = -40 + 6 Combine like terms: -40 + 6 = -34 -17n = -34 Divide each side by '-17'. n = 2 Simplifying n = 2
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