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Simplifying 109 = 1 + -4(1 + 4n) 109 = 1 + (1 * -4 + 4n * -4) 109 = 1 + (-4 + -16n) Combine like terms: 1 + -4 = -3 109 = -3 + -16n Solving 109 = -3 + -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. 109 + 16n = -3 + -16n + 16n Combine like terms: -16n + 16n = 0 109 + 16n = -3 + 0 109 + 16n = -3 Add '-109' to each side of the equation. 109 + -109 + 16n = -3 + -109 Combine like terms: 109 + -109 = 0 0 + 16n = -3 + -109 16n = -3 + -109 Combine like terms: -3 + -109 = -112 16n = -112 Divide each side by '16'. n = -7 Simplifying n = -7
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