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Simplifying -12n + -1(4n + 5) = 16 + -3n Reorder the terms: -12n + -1(5 + 4n) = 16 + -3n -12n + (5 * -1 + 4n * -1) = 16 + -3n -12n + (-5 + -4n) = 16 + -3n Reorder the terms: -5 + -12n + -4n = 16 + -3n Combine like terms: -12n + -4n = -16n -5 + -16n = 16 + -3n Solving -5 + -16n = 16 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -5 + -16n + 3n = 16 + -3n + 3n Combine like terms: -16n + 3n = -13n -5 + -13n = 16 + -3n + 3n Combine like terms: -3n + 3n = 0 -5 + -13n = 16 + 0 -5 + -13n = 16 Add '5' to each side of the equation. -5 + 5 + -13n = 16 + 5 Combine like terms: -5 + 5 = 0 0 + -13n = 16 + 5 -13n = 16 + 5 Combine like terms: 16 + 5 = 21 -13n = 21 Divide each side by '-13'. n = -1.615384615 Simplifying n = -1.615384615
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