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Simplifying 57 + -14n = 2 + -1(9 + 6n) 57 + -14n = 2 + (9 * -1 + 6n * -1) 57 + -14n = 2 + (-9 + -6n) Combine like terms: 2 + -9 = -7 57 + -14n = -7 + -6n Solving 57 + -14n = -7 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 57 + -14n + 6n = -7 + -6n + 6n Combine like terms: -14n + 6n = -8n 57 + -8n = -7 + -6n + 6n Combine like terms: -6n + 6n = 0 57 + -8n = -7 + 0 57 + -8n = -7 Add '-57' to each side of the equation. 57 + -57 + -8n = -7 + -57 Combine like terms: 57 + -57 = 0 0 + -8n = -7 + -57 -8n = -7 + -57 Combine like terms: -7 + -57 = -64 -8n = -64 Divide each side by '-8'. n = 8 Simplifying n = 8
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