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Simplifying 7(n + 2) + -6 = -3(1 + -2n) Reorder the terms: 7(2 + n) + -6 = -3(1 + -2n) (2 * 7 + n * 7) + -6 = -3(1 + -2n) (14 + 7n) + -6 = -3(1 + -2n) Reorder the terms: 14 + -6 + 7n = -3(1 + -2n) Combine like terms: 14 + -6 = 8 8 + 7n = -3(1 + -2n) 8 + 7n = (1 * -3 + -2n * -3) 8 + 7n = (-3 + 6n) Solving 8 + 7n = -3 + 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. 8 + 7n + -6n = -3 + 6n + -6n Combine like terms: 7n + -6n = 1n 8 + 1n = -3 + 6n + -6n Combine like terms: 6n + -6n = 0 8 + 1n = -3 + 0 8 + 1n = -3 Add '-8' to each side of the equation. 8 + -8 + 1n = -3 + -8 Combine like terms: 8 + -8 = 0 0 + 1n = -3 + -8 1n = -3 + -8 Combine like terms: -3 + -8 = -11 1n = -11 Divide each side by '1'. n = -11 Simplifying n = -11
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