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Simplifying 6(n + 7) = 16 + -7n Reorder the terms: 6(7 + n) = 16 + -7n (7 * 6 + n * 6) = 16 + -7n (42 + 6n) = 16 + -7n Solving 42 + 6n = 16 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 42 + 6n + 7n = 16 + -7n + 7n Combine like terms: 6n + 7n = 13n 42 + 13n = 16 + -7n + 7n Combine like terms: -7n + 7n = 0 42 + 13n = 16 + 0 42 + 13n = 16 Add '-42' to each side of the equation. 42 + -42 + 13n = 16 + -42 Combine like terms: 42 + -42 = 0 0 + 13n = 16 + -42 13n = 16 + -42 Combine like terms: 16 + -42 = -26 13n = -26 Divide each side by '13'. n = -2 Simplifying n = -2
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