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Simplifying 6(5 + n) + 3n = 16 + 7n (5 * 6 + n * 6) + 3n = 16 + 7n (30 + 6n) + 3n = 16 + 7n Combine like terms: 6n + 3n = 9n 30 + 9n = 16 + 7n Solving 30 + 9n = 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. 30 + 9n + -7n = 16 + 7n + -7n Combine like terms: 9n + -7n = 2n 30 + 2n = 16 + 7n + -7n Combine like terms: 7n + -7n = 0 30 + 2n = 16 + 0 30 + 2n = 16 Add '-30' to each side of the equation. 30 + -30 + 2n = 16 + -30 Combine like terms: 30 + -30 = 0 0 + 2n = 16 + -30 2n = 16 + -30 Combine like terms: 16 + -30 = -14 2n = -14 Divide each side by '2'. n = -7 Simplifying n = -7
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