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