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Simplifying -27 + 7n = -4(1 + 4n) -27 + 7n = (1 * -4 + 4n * -4) -27 + 7n = (-4 + -16n) Solving -27 + 7n = -4 + -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. -27 + 7n + 16n = -4 + -16n + 16n Combine like terms: 7n + 16n = 23n -27 + 23n = -4 + -16n + 16n Combine like terms: -16n + 16n = 0 -27 + 23n = -4 + 0 -27 + 23n = -4 Add '27' to each side of the equation. -27 + 27 + 23n = -4 + 27 Combine like terms: -27 + 27 = 0 0 + 23n = -4 + 27 23n = -4 + 27 Combine like terms: -4 + 27 = 23 23n = 23 Divide each side by '23'. n = 1 Simplifying n = 1
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