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Simplifying 5n + 7 = 12n + -2 Reorder the terms: 7 + 5n = 12n + -2 Reorder the terms: 7 + 5n = -2 + 12n Solving 7 + 5n = -2 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 7 + 5n + -12n = -2 + 12n + -12n Combine like terms: 5n + -12n = -7n 7 + -7n = -2 + 12n + -12n Combine like terms: 12n + -12n = 0 7 + -7n = -2 + 0 7 + -7n = -2 Add '-7' to each side of the equation. 7 + -7 + -7n = -2 + -7 Combine like terms: 7 + -7 = 0 0 + -7n = -2 + -7 -7n = -2 + -7 Combine like terms: -2 + -7 = -9 -7n = -9 Divide each side by '-7'. n = 1.285714286 Simplifying n = 1.285714286
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