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Simplifying 4(n + 1) = 7n + -1 Reorder the terms: 4(1 + n) = 7n + -1 (1 * 4 + n * 4) = 7n + -1 (4 + 4n) = 7n + -1 Reorder the terms: 4 + 4n = -1 + 7n Solving 4 + 4n = -1 + 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 + 4n + -7n = -1 + 7n + -7n Combine like terms: 4n + -7n = -3n 4 + -3n = -1 + 7n + -7n Combine like terms: 7n + -7n = 0 4 + -3n = -1 + 0 4 + -3n = -1 Add '-4' to each side of the equation. 4 + -4 + -3n = -1 + -4 Combine like terms: 4 + -4 = 0 0 + -3n = -1 + -4 -3n = -1 + -4 Combine like terms: -1 + -4 = -5 -3n = -5 Divide each side by '-3'. n = 1.666666667 Simplifying n = 1.666666667
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