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Simplifying -12 + 5n = 7n + 2 Reorder the terms: -12 + 5n = 2 + 7n Solving -12 + 5n = 2 + 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 + 5n + -7n = 2 + 7n + -7n Combine like terms: 5n + -7n = -2n -12 + -2n = 2 + 7n + -7n Combine like terms: 7n + -7n = 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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