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Simplifying 28 + 19n = 42 + 12n Solving 28 + 19n = 42 + 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. 28 + 19n + -12n = 42 + 12n + -12n Combine like terms: 19n + -12n = 7n 28 + 7n = 42 + 12n + -12n Combine like terms: 12n + -12n = 0 28 + 7n = 42 + 0 28 + 7n = 42 Add '-28' to each side of the equation. 28 + -28 + 7n = 42 + -28 Combine like terms: 28 + -28 = 0 0 + 7n = 42 + -28 7n = 42 + -28 Combine like terms: 42 + -28 = 14 7n = 14 Divide each side by '7'. n = 2 Simplifying n = 2
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