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Simplifying 30 = -6(1 + -5n) + -2(n + -4) 30 = (1 * -6 + -5n * -6) + -2(n + -4) 30 = (-6 + 30n) + -2(n + -4) Reorder the terms: 30 = -6 + 30n + -2(-4 + n) 30 = -6 + 30n + (-4 * -2 + n * -2) 30 = -6 + 30n + (8 + -2n) Reorder the terms: 30 = -6 + 8 + 30n + -2n Combine like terms: -6 + 8 = 2 30 = 2 + 30n + -2n Combine like terms: 30n + -2n = 28n 30 = 2 + 28n Solving 30 = 2 + 28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28n' to each side of the equation. 30 + -28n = 2 + 28n + -28n Combine like terms: 28n + -28n = 0 30 + -28n = 2 + 0 30 + -28n = 2 Add '-30' to each side of the equation. 30 + -30 + -28n = 2 + -30 Combine like terms: 30 + -30 = 0 0 + -28n = 2 + -30 -28n = 2 + -30 Combine like terms: 2 + -30 = -28 -28n = -28 Divide each side by '-28'. n = 1 Simplifying n = 1
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