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Simplifying n + 5 = 6(n + -5) + -2 Reorder the terms: 5 + n = 6(n + -5) + -2 Reorder the terms: 5 + n = 6(-5 + n) + -2 5 + n = (-5 * 6 + n * 6) + -2 5 + n = (-30 + 6n) + -2 Reorder the terms: 5 + n = -30 + -2 + 6n Combine like terms: -30 + -2 = -32 5 + n = -32 + 6n Solving 5 + n = -32 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 5 + n + -6n = -32 + 6n + -6n Combine like terms: n + -6n = -5n 5 + -5n = -32 + 6n + -6n Combine like terms: 6n + -6n = 0 5 + -5n = -32 + 0 5 + -5n = -32 Add '-5' to each side of the equation. 5 + -5 + -5n = -32 + -5 Combine like terms: 5 + -5 = 0 0 + -5n = -32 + -5 -5n = -32 + -5 Combine like terms: -32 + -5 = -37 -5n = -37 Divide each side by '-5'. n = 7.4 Simplifying n = 7.4
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