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Simplifying -7n + 12 = -5n + -2 Reorder the terms: 12 + -7n = -5n + -2 Reorder the terms: 12 + -7n = -2 + -5n Solving 12 + -7n = -2 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 12 + -7n + 5n = -2 + -5n + 5n Combine like terms: -7n + 5n = -2n 12 + -2n = -2 + -5n + 5n Combine like terms: -5n + 5n = 0 12 + -2n = -2 + 0 12 + -2n = -2 Add '-12' to each side of the equation. 12 + -12 + -2n = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -2n = -2 + -12 -2n = -2 + -12 Combine like terms: -2 + -12 = -14 -2n = -14 Divide each side by '-2'. n = 7 Simplifying n = 7
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