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Simplifying -4(-7n + -1) + -5n = -30 + 6n Reorder the terms: -4(-1 + -7n) + -5n = -30 + 6n (-1 * -4 + -7n * -4) + -5n = -30 + 6n (4 + 28n) + -5n = -30 + 6n Combine like terms: 28n + -5n = 23n 4 + 23n = -30 + 6n Solving 4 + 23n = -30 + 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. 4 + 23n + -6n = -30 + 6n + -6n Combine like terms: 23n + -6n = 17n 4 + 17n = -30 + 6n + -6n Combine like terms: 6n + -6n = 0 4 + 17n = -30 + 0 4 + 17n = -30 Add '-4' to each side of the equation. 4 + -4 + 17n = -30 + -4 Combine like terms: 4 + -4 = 0 0 + 17n = -30 + -4 17n = -30 + -4 Combine like terms: -30 + -4 = -34 17n = -34 Divide each side by '17'. n = -2 Simplifying n = -2
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