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Simplifying 5(3n + 4) + -1n = -2(n + 5) Reorder the terms: 5(4 + 3n) + -1n = -2(n + 5) (4 * 5 + 3n * 5) + -1n = -2(n + 5) (20 + 15n) + -1n = -2(n + 5) Combine like terms: 15n + -1n = 14n 20 + 14n = -2(n + 5) Reorder the terms: 20 + 14n = -2(5 + n) 20 + 14n = (5 * -2 + n * -2) 20 + 14n = (-10 + -2n) Solving 20 + 14n = -10 + -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. 20 + 14n + 2n = -10 + -2n + 2n Combine like terms: 14n + 2n = 16n 20 + 16n = -10 + -2n + 2n Combine like terms: -2n + 2n = 0 20 + 16n = -10 + 0 20 + 16n = -10 Add '-20' to each side of the equation. 20 + -20 + 16n = -10 + -20 Combine like terms: 20 + -20 = 0 0 + 16n = -10 + -20 16n = -10 + -20 Combine like terms: -10 + -20 = -30 16n = -30 Divide each side by '16'. n = -1.875 Simplifying n = -1.875
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