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Simplifying 14 = 2(-8n + 6) + -1(7n + -2) Reorder the terms: 14 = 2(6 + -8n) + -1(7n + -2) 14 = (6 * 2 + -8n * 2) + -1(7n + -2) 14 = (12 + -16n) + -1(7n + -2) Reorder the terms: 14 = 12 + -16n + -1(-2 + 7n) 14 = 12 + -16n + (-2 * -1 + 7n * -1) 14 = 12 + -16n + (2 + -7n) Reorder the terms: 14 = 12 + 2 + -16n + -7n Combine like terms: 12 + 2 = 14 14 = 14 + -16n + -7n Combine like terms: -16n + -7n = -23n 14 = 14 + -23n Add '-14' to each side of the equation. 14 + -14 = 14 + -14 + -23n Combine like terms: 14 + -14 = 0 0 = 14 + -14 + -23n Combine like terms: 14 + -14 = 0 0 = 0 + -23n 0 = -23n Solving 0 = -23n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '23n' to each side of the equation. 0 + 23n = -23n + 23n Remove the zero: 23n = -23n + 23n Combine like terms: -23n + 23n = 0 23n = 0 Divide each side by '23'. n = 0 Simplifying n = 0
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