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Simplifying 5n + 4 = 7(n + 1) Reorder the terms: 4 + 5n = 7(n + 1) Reorder the terms: 4 + 5n = 7(1 + n) 4 + 5n = (1 * 7 + n * 7) 4 + 5n = (7 + 7n) Solving 4 + 5n = 7 + 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. 4 + 5n + -7n = 7 + 7n + -7n Combine like terms: 5n + -7n = -2n 4 + -2n = 7 + 7n + -7n Combine like terms: 7n + -7n = 0 4 + -2n = 7 + 0 4 + -2n = 7 Add '-4' to each side of the equation. 4 + -4 + -2n = 7 + -4 Combine like terms: 4 + -4 = 0 0 + -2n = 7 + -4 -2n = 7 + -4 Combine like terms: 7 + -4 = 3 -2n = 3 Divide each side by '-2'. n = -1.5 Simplifying n = -1.5
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