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Simplifying 5n + 7 = 7(n + i) + -2n Reorder the terms: 7 + 5n = 7(n + i) + -2n Reorder the terms: 7 + 5n = 7(i + n) + -2n 7 + 5n = (i * 7 + n * 7) + -2n 7 + 5n = (7i + 7n) + -2n Combine like terms: 7n + -2n = 5n 7 + 5n = 7i + 5n Add '-5n' to each side of the equation. 7 + 5n + -5n = 7i + 5n + -5n Combine like terms: 5n + -5n = 0 7 + 0 = 7i + 5n + -5n 7 = 7i + 5n + -5n Combine like terms: 5n + -5n = 0 7 = 7i + 0 7 = 7i Solving 7 = 7i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-7i' to each side of the equation. 7 + -7i = 7i + -7i Combine like terms: 7i + -7i = 0 7 + -7i = 0 Add '-7' to each side of the equation. 7 + -7 + -7i = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -7i = 0 + -7 -7i = 0 + -7 Combine like terms: 0 + -7 = -7 -7i = -7 Divide each side by '-7'. i = 1 Simplifying i = 1
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