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Simplifying 5n + 4(-4 + -1n) = -2(1 + 3n) 5n + (-4 * 4 + -1n * 4) = -2(1 + 3n) 5n + (-16 + -4n) = -2(1 + 3n) Reorder the terms: -16 + 5n + -4n = -2(1 + 3n) Combine like terms: 5n + -4n = 1n -16 + 1n = -2(1 + 3n) -16 + 1n = (1 * -2 + 3n * -2) -16 + 1n = (-2 + -6n) Solving -16 + 1n = -2 + -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. -16 + 1n + 6n = -2 + -6n + 6n Combine like terms: 1n + 6n = 7n -16 + 7n = -2 + -6n + 6n Combine like terms: -6n + 6n = 0 -16 + 7n = -2 + 0 -16 + 7n = -2 Add '16' to each side of the equation. -16 + 16 + 7n = -2 + 16 Combine like terms: -16 + 16 = 0 0 + 7n = -2 + 16 7n = -2 + 16 Combine like terms: -2 + 16 = 14 7n = 14 Divide each side by '7'. n = 2 Simplifying n = 2
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