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Simplifying 1 + -4(7n + -4) = -27 + -6n Reorder the terms: 1 + -4(-4 + 7n) = -27 + -6n 1 + (-4 * -4 + 7n * -4) = -27 + -6n 1 + (16 + -28n) = -27 + -6n Combine like terms: 1 + 16 = 17 17 + -28n = -27 + -6n Solving 17 + -28n = -27 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 17 + -28n + 6n = -27 + -6n + 6n Combine like terms: -28n + 6n = -22n 17 + -22n = -27 + -6n + 6n Combine like terms: -6n + 6n = 0 17 + -22n = -27 + 0 17 + -22n = -27 Add '-17' to each side of the equation. 17 + -17 + -22n = -27 + -17 Combine like terms: 17 + -17 = 0 0 + -22n = -27 + -17 -22n = -27 + -17 Combine like terms: -27 + -17 = -44 -22n = -44 Divide each side by '-22'. n = 2 Simplifying n = 2
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