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Simplifying 6n + 3 = 3[-7n + 1] Reorder the terms: 3 + 6n = 3[-7n + 1] Reorder the terms: 3 + 6n = 3[1 + -7n] 3 + 6n = [1 * 3 + -7n * 3] 3 + 6n = [3 + -21n] Add '-3' to each side of the equation. 3 + -3 + 6n = 3 + -3 + -21n Combine like terms: 3 + -3 = 0 0 + 6n = 3 + -3 + -21n 6n = 3 + -3 + -21n Combine like terms: 3 + -3 = 0 6n = 0 + -21n 6n = -21n Solving 6n = -21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '21n' to each side of the equation. 6n + 21n = -21n + 21n Combine like terms: 6n + 21n = 27n 27n = -21n + 21n Combine like terms: -21n + 21n = 0 27n = 0 Divide each side by '27'. n = 0 Simplifying n = 0
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