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Simplifying 101 = 5 + 4(4n + -4) Reorder the terms: 101 = 5 + 4(-4 + 4n) 101 = 5 + (-4 * 4 + 4n * 4) 101 = 5 + (-16 + 16n) Combine like terms: 5 + -16 = -11 101 = -11 + 16n Solving 101 = -11 + 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. 101 + -16n = -11 + 16n + -16n Combine like terms: 16n + -16n = 0 101 + -16n = -11 + 0 101 + -16n = -11 Add '-101' to each side of the equation. 101 + -101 + -16n = -11 + -101 Combine like terms: 101 + -101 = 0 0 + -16n = -11 + -101 -16n = -11 + -101 Combine like terms: -11 + -101 = -112 -16n = -112 Divide each side by '-16'. n = 7 Simplifying n = 7
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