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Simplifying 6(n + 7) = 99 + -7(n + -3) Reorder the terms: 6(7 + n) = 99 + -7(n + -3) (7 * 6 + n * 6) = 99 + -7(n + -3) (42 + 6n) = 99 + -7(n + -3) Reorder the terms: 42 + 6n = 99 + -7(-3 + n) 42 + 6n = 99 + (-3 * -7 + n * -7) 42 + 6n = 99 + (21 + -7n) Combine like terms: 99 + 21 = 120 42 + 6n = 120 + -7n Solving 42 + 6n = 120 + -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 = 120 + -7n + 7n Combine like terms: 6n + 7n = 13n 42 + 13n = 120 + -7n + 7n Combine like terms: -7n + 7n = 0 42 + 13n = 120 + 0 42 + 13n = 120 Add '-42' to each side of the equation. 42 + -42 + 13n = 120 + -42 Combine like terms: 42 + -42 = 0 0 + 13n = 120 + -42 13n = 120 + -42 Combine like terms: 120 + -42 = 78 13n = 78 Divide each side by '13'. n = 6 Simplifying n = 6
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