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Simplifying 3(n + -2) * 19 = 5 + 2(n + 5) Reorder the terms: 3(-2 + n) * 19 = 5 + 2(n + 5) Reorder the terms for easier multiplication: 3 * 19(-2 + n) = 5 + 2(n + 5) Multiply 3 * 19 57(-2 + n) = 5 + 2(n + 5) (-2 * 57 + n * 57) = 5 + 2(n + 5) (-114 + 57n) = 5 + 2(n + 5) Reorder the terms: -114 + 57n = 5 + 2(5 + n) -114 + 57n = 5 + (5 * 2 + n * 2) -114 + 57n = 5 + (10 + 2n) Combine like terms: 5 + 10 = 15 -114 + 57n = 15 + 2n Solving -114 + 57n = 15 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -114 + 57n + -2n = 15 + 2n + -2n Combine like terms: 57n + -2n = 55n -114 + 55n = 15 + 2n + -2n Combine like terms: 2n + -2n = 0 -114 + 55n = 15 + 0 -114 + 55n = 15 Add '114' to each side of the equation. -114 + 114 + 55n = 15 + 114 Combine like terms: -114 + 114 = 0 0 + 55n = 15 + 114 55n = 15 + 114 Combine like terms: 15 + 114 = 129 55n = 129 Divide each side by '55'. n = 2.345454545 Simplifying n = 2.345454545
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