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