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Simplifying 3(2n + -1) + 7 = 5n + 4 + -6n Reorder the terms: 3(-1 + 2n) + 7 = 5n + 4 + -6n (-1 * 3 + 2n * 3) + 7 = 5n + 4 + -6n (-3 + 6n) + 7 = 5n + 4 + -6n Reorder the terms: -3 + 7 + 6n = 5n + 4 + -6n Combine like terms: -3 + 7 = 4 4 + 6n = 5n + 4 + -6n Reorder the terms: 4 + 6n = 4 + 5n + -6n Combine like terms: 5n + -6n = -1n 4 + 6n = 4 + -1n Add '-4' to each side of the equation. 4 + -4 + 6n = 4 + -4 + -1n Combine like terms: 4 + -4 = 0 0 + 6n = 4 + -4 + -1n 6n = 4 + -4 + -1n Combine like terms: 4 + -4 = 0 6n = 0 + -1n 6n = -1n Solving 6n = -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 6n + n = -1n + n Combine like terms: 6n + n = 7n 7n = -1n + n Combine like terms: -1n + n = 0 7n = 0 Divide each side by '7'. n = 0 Simplifying n = 0
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