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Simplifying -7n + -5 + 2 = 5(n + 1) Reorder the terms: -5 + 2 + -7n = 5(n + 1) Combine like terms: -5 + 2 = -3 -3 + -7n = 5(n + 1) Reorder the terms: -3 + -7n = 5(1 + n) -3 + -7n = (1 * 5 + n * 5) -3 + -7n = (5 + 5n) Solving -3 + -7n = 5 + 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 + -7n + -5n = 5 + 5n + -5n Combine like terms: -7n + -5n = -12n -3 + -12n = 5 + 5n + -5n Combine like terms: 5n + -5n = 0 -3 + -12n = 5 + 0 -3 + -12n = 5 Add '3' to each side of the equation. -3 + 3 + -12n = 5 + 3 Combine like terms: -3 + 3 = 0 0 + -12n = 5 + 3 -12n = 5 + 3 Combine like terms: 5 + 3 = 8 -12n = 8 Divide each side by '-12'. n = -0.6666666667 Simplifying n = -0.6666666667
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