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Simplifying 4 + -1n + -7 = 5n + 1 Reorder the terms: 4 + -7 + -1n = 5n + 1 Combine like terms: 4 + -7 = -3 -3 + -1n = 5n + 1 Reorder the terms: -3 + -1n = 1 + 5n Solving -3 + -1n = 1 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -3 + -1n + -5n = 1 + 5n + -5n Combine like terms: -1n + -5n = -6n -3 + -6n = 1 + 5n + -5n Combine like terms: 5n + -5n = 0 -3 + -6n = 1 + 0 -3 + -6n = 1 Add '3' to each side of the equation. -3 + 3 + -6n = 1 + 3 Combine like terms: -3 + 3 = 0 0 + -6n = 1 + 3 -6n = 1 + 3 Combine like terms: 1 + 3 = 4 -6n = 4 Divide each side by '-6'. n = -0.6666666667 Simplifying n = -0.6666666667
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