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Simplifying 7(3n + 7) + -4 = 6n Reorder the terms: 7(7 + 3n) + -4 = 6n (7 * 7 + 3n * 7) + -4 = 6n (49 + 21n) + -4 = 6n Reorder the terms: 49 + -4 + 21n = 6n Combine like terms: 49 + -4 = 45 45 + 21n = 6n Solving 45 + 21n = 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. 45 + 21n + -6n = 6n + -6n Combine like terms: 21n + -6n = 15n 45 + 15n = 6n + -6n Combine like terms: 6n + -6n = 0 45 + 15n = 0 Add '-45' to each side of the equation. 45 + -45 + 15n = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 15n = 0 + -45 15n = 0 + -45 Combine like terms: 0 + -45 = -45 15n = -45 Divide each side by '15'. n = -3 Simplifying n = -3
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