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Simplifying -85 = -1n + -5(3n + 1) Reorder the terms: -85 = -1n + -5(1 + 3n) -85 = -1n + (1 * -5 + 3n * -5) -85 = -1n + (-5 + -15n) Reorder the terms: -85 = -5 + -1n + -15n Combine like terms: -1n + -15n = -16n -85 = -5 + -16n Solving -85 = -5 + -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. -85 + 16n = -5 + -16n + 16n Combine like terms: -16n + 16n = 0 -85 + 16n = -5 + 0 -85 + 16n = -5 Add '85' to each side of the equation. -85 + 85 + 16n = -5 + 85 Combine like terms: -85 + 85 = 0 0 + 16n = -5 + 85 16n = -5 + 85 Combine like terms: -5 + 85 = 80 16n = 80 Divide each side by '16'. n = 5 Simplifying n = 5
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