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Simplifying -7n + -8(1 + -6n) = -4(n + 2) -7n + (1 * -8 + -6n * -8) = -4(n + 2) -7n + (-8 + 48n) = -4(n + 2) Reorder the terms: -8 + -7n + 48n = -4(n + 2) Combine like terms: -7n + 48n = 41n -8 + 41n = -4(n + 2) Reorder the terms: -8 + 41n = -4(2 + n) -8 + 41n = (2 * -4 + n * -4) -8 + 41n = (-8 + -4n) Add '8' to each side of the equation. -8 + 8 + 41n = -8 + 8 + -4n Combine like terms: -8 + 8 = 0 0 + 41n = -8 + 8 + -4n 41n = -8 + 8 + -4n Combine like terms: -8 + 8 = 0 41n = 0 + -4n 41n = -4n Solving 41n = -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 41n + 4n = -4n + 4n Combine like terms: 41n + 4n = 45n 45n = -4n + 4n Combine like terms: -4n + 4n = 0 45n = 0 Divide each side by '45'. n = 0 Simplifying n = 0
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