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Simplifying -2 + 7(n + 2) = -3(1 + -2n) + 7 Reorder the terms: -2 + 7(2 + n) = -3(1 + -2n) + 7 -2 + (2 * 7 + n * 7) = -3(1 + -2n) + 7 -2 + (14 + 7n) = -3(1 + -2n) + 7 Combine like terms: -2 + 14 = 12 12 + 7n = -3(1 + -2n) + 7 12 + 7n = (1 * -3 + -2n * -3) + 7 12 + 7n = (-3 + 6n) + 7 Reorder the terms: 12 + 7n = -3 + 7 + 6n Combine like terms: -3 + 7 = 4 12 + 7n = 4 + 6n Solving 12 + 7n = 4 + 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. 12 + 7n + -6n = 4 + 6n + -6n Combine like terms: 7n + -6n = 1n 12 + 1n = 4 + 6n + -6n Combine like terms: 6n + -6n = 0 12 + 1n = 4 + 0 12 + 1n = 4 Add '-12' to each side of the equation. 12 + -12 + 1n = 4 + -12 Combine like terms: 12 + -12 = 0 0 + 1n = 4 + -12 1n = 4 + -12 Combine like terms: 4 + -12 = -8 1n = -8 Divide each side by '1'. n = -8 Simplifying n = -8
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