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Simplifying -38 + 2n = 2(5 + -7n) -38 + 2n = (5 * 2 + -7n * 2) -38 + 2n = (10 + -14n) Solving -38 + 2n = 10 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. -38 + 2n + 14n = 10 + -14n + 14n Combine like terms: 2n + 14n = 16n -38 + 16n = 10 + -14n + 14n Combine like terms: -14n + 14n = 0 -38 + 16n = 10 + 0 -38 + 16n = 10 Add '38' to each side of the equation. -38 + 38 + 16n = 10 + 38 Combine like terms: -38 + 38 = 0 0 + 16n = 10 + 38 16n = 10 + 38 Combine like terms: 10 + 38 = 48 16n = 48 Divide each side by '16'. n = 3 Simplifying n = 3
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