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Simplifying -7n + -2n = 2(n + -3) + 6(1 + -5n) Combine like terms: -7n + -2n = -9n -9n = 2(n + -3) + 6(1 + -5n) Reorder the terms: -9n = 2(-3 + n) + 6(1 + -5n) -9n = (-3 * 2 + n * 2) + 6(1 + -5n) -9n = (-6 + 2n) + 6(1 + -5n) -9n = -6 + 2n + (1 * 6 + -5n * 6) -9n = -6 + 2n + (6 + -30n) Reorder the terms: -9n = -6 + 6 + 2n + -30n Combine like terms: -6 + 6 = 0 -9n = 0 + 2n + -30n -9n = 2n + -30n Combine like terms: 2n + -30n = -28n -9n = -28n Solving -9n = -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. -9n + 28n = -28n + 28n Combine like terms: -9n + 28n = 19n 19n = -28n + 28n Combine like terms: -28n + 28n = 0 19n = 0 Divide each side by '19'. n = 0 Simplifying n = 0
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