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Simplifying 5n + -12 = 2(-1n + 1) Reorder the terms: -12 + 5n = 2(-1n + 1) Reorder the terms: -12 + 5n = 2(1 + -1n) -12 + 5n = (1 * 2 + -1n * 2) -12 + 5n = (2 + -2n) Solving -12 + 5n = 2 + -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. -12 + 5n + 2n = 2 + -2n + 2n Combine like terms: 5n + 2n = 7n -12 + 7n = 2 + -2n + 2n Combine like terms: -2n + 2n = 0 -12 + 7n = 2 + 0 -12 + 7n = 2 Add '12' to each side of the equation. -12 + 12 + 7n = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 7n = 2 + 12 7n = 2 + 12 Combine like terms: 2 + 12 = 14 7n = 14 Divide each side by '7'. n = 2 Simplifying n = 2
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