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Simplifying 6(3n + -2) + 5n = 57 Reorder the terms: 6(-2 + 3n) + 5n = 57 (-2 * 6 + 3n * 6) + 5n = 57 (-12 + 18n) + 5n = 57 Combine like terms: 18n + 5n = 23n -12 + 23n = 57 Solving -12 + 23n = 57 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 23n = 57 + 12 Combine like terms: -12 + 12 = 0 0 + 23n = 57 + 12 23n = 57 + 12 Combine like terms: 57 + 12 = 69 23n = 69 Divide each side by '23'. n = 3 Simplifying n = 3
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