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Simplifying 5n + -2 = 6(6 + 2n) Reorder the terms: -2 + 5n = 6(6 + 2n) -2 + 5n = (6 * 6 + 2n * 6) -2 + 5n = (36 + 12n) Solving -2 + 5n = 36 + 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. -2 + 5n + -12n = 36 + 12n + -12n Combine like terms: 5n + -12n = -7n -2 + -7n = 36 + 12n + -12n Combine like terms: 12n + -12n = 0 -2 + -7n = 36 + 0 -2 + -7n = 36 Add '2' to each side of the equation. -2 + 2 + -7n = 36 + 2 Combine like terms: -2 + 2 = 0 0 + -7n = 36 + 2 -7n = 36 + 2 Combine like terms: 36 + 2 = 38 -7n = 38 Divide each side by '-7'. n = -5.428571429 Simplifying n = -5.428571429
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