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Simplifying 2(n + 6) = 2 + -7(-1n + 5) Reorder the terms: 2(6 + n) = 2 + -7(-1n + 5) (6 * 2 + n * 2) = 2 + -7(-1n + 5) (12 + 2n) = 2 + -7(-1n + 5) Reorder the terms: 12 + 2n = 2 + -7(5 + -1n) 12 + 2n = 2 + (5 * -7 + -1n * -7) 12 + 2n = 2 + (-35 + 7n) Combine like terms: 2 + -35 = -33 12 + 2n = -33 + 7n Solving 12 + 2n = -33 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 12 + 2n + -7n = -33 + 7n + -7n Combine like terms: 2n + -7n = -5n 12 + -5n = -33 + 7n + -7n Combine like terms: 7n + -7n = 0 12 + -5n = -33 + 0 12 + -5n = -33 Add '-12' to each side of the equation. 12 + -12 + -5n = -33 + -12 Combine like terms: 12 + -12 = 0 0 + -5n = -33 + -12 -5n = -33 + -12 Combine like terms: -33 + -12 = -45 -5n = -45 Divide each side by '-5'. n = 9 Simplifying n = 9
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