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Simplifying -91 = 1 + -4(4n + -5) Reorder the terms: -91 = 1 + -4(-5 + 4n) -91 = 1 + (-5 * -4 + 4n * -4) -91 = 1 + (20 + -16n) Combine like terms: 1 + 20 = 21 -91 = 21 + -16n Solving -91 = 21 + -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. -91 + 16n = 21 + -16n + 16n Combine like terms: -16n + 16n = 0 -91 + 16n = 21 + 0 -91 + 16n = 21 Add '91' to each side of the equation. -91 + 91 + 16n = 21 + 91 Combine like terms: -91 + 91 = 0 0 + 16n = 21 + 91 16n = 21 + 91 Combine like terms: 21 + 91 = 112 16n = 112 Divide each side by '16'. n = 7 Simplifying n = 7
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