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Simplifying 5n + 12 + -2n = 50 + -1(4n + 10) Reorder the terms: 12 + 5n + -2n = 50 + -1(4n + 10) Combine like terms: 5n + -2n = 3n 12 + 3n = 50 + -1(4n + 10) Reorder the terms: 12 + 3n = 50 + -1(10 + 4n) 12 + 3n = 50 + (10 * -1 + 4n * -1) 12 + 3n = 50 + (-10 + -4n) Combine like terms: 50 + -10 = 40 12 + 3n = 40 + -4n Solving 12 + 3n = 40 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 12 + 3n + 4n = 40 + -4n + 4n Combine like terms: 3n + 4n = 7n 12 + 7n = 40 + -4n + 4n Combine like terms: -4n + 4n = 0 12 + 7n = 40 + 0 12 + 7n = 40 Add '-12' to each side of the equation. 12 + -12 + 7n = 40 + -12 Combine like terms: 12 + -12 = 0 0 + 7n = 40 + -12 7n = 40 + -12 Combine like terms: 40 + -12 = 28 7n = 28 Divide each side by '7'. n = 4 Simplifying n = 4
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