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Simplifying 5n + -1(7n + 19) = 2 + -1(7n + -8) Reorder the terms: 5n + -1(19 + 7n) = 2 + -1(7n + -8) 5n + (19 * -1 + 7n * -1) = 2 + -1(7n + -8) 5n + (-19 + -7n) = 2 + -1(7n + -8) Reorder the terms: -19 + 5n + -7n = 2 + -1(7n + -8) Combine like terms: 5n + -7n = -2n -19 + -2n = 2 + -1(7n + -8) Reorder the terms: -19 + -2n = 2 + -1(-8 + 7n) -19 + -2n = 2 + (-8 * -1 + 7n * -1) -19 + -2n = 2 + (8 + -7n) Combine like terms: 2 + 8 = 10 -19 + -2n = 10 + -7n Solving -19 + -2n = 10 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -19 + -2n + 7n = 10 + -7n + 7n Combine like terms: -2n + 7n = 5n -19 + 5n = 10 + -7n + 7n Combine like terms: -7n + 7n = 0 -19 + 5n = 10 + 0 -19 + 5n = 10 Add '19' to each side of the equation. -19 + 19 + 5n = 10 + 19 Combine like terms: -19 + 19 = 0 0 + 5n = 10 + 19 5n = 10 + 19 Combine like terms: 10 + 19 = 29 5n = 29 Divide each side by '5'. n = 5.8 Simplifying n = 5.8
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