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Simplifying 7(n + 2) + -5 = -2(-1n + 3) Reorder the terms: 7(2 + n) + -5 = -2(-1n + 3) (2 * 7 + n * 7) + -5 = -2(-1n + 3) (14 + 7n) + -5 = -2(-1n + 3) Reorder the terms: 14 + -5 + 7n = -2(-1n + 3) Combine like terms: 14 + -5 = 9 9 + 7n = -2(-1n + 3) Reorder the terms: 9 + 7n = -2(3 + -1n) 9 + 7n = (3 * -2 + -1n * -2) 9 + 7n = (-6 + 2n) Solving 9 + 7n = -6 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 9 + 7n + -2n = -6 + 2n + -2n Combine like terms: 7n + -2n = 5n 9 + 5n = -6 + 2n + -2n Combine like terms: 2n + -2n = 0 9 + 5n = -6 + 0 9 + 5n = -6 Add '-9' to each side of the equation. 9 + -9 + 5n = -6 + -9 Combine like terms: 9 + -9 = 0 0 + 5n = -6 + -9 5n = -6 + -9 Combine like terms: -6 + -9 = -15 5n = -15 Divide each side by '5'. n = -3 Simplifying n = -3
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