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Simplifying 6(n + -10) = 5n + -42 + -2n Reorder the terms: 6(-10 + n) = 5n + -42 + -2n (-10 * 6 + n * 6) = 5n + -42 + -2n (-60 + 6n) = 5n + -42 + -2n Reorder the terms: -60 + 6n = -42 + 5n + -2n Combine like terms: 5n + -2n = 3n -60 + 6n = -42 + 3n Solving -60 + 6n = -42 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -60 + 6n + -3n = -42 + 3n + -3n Combine like terms: 6n + -3n = 3n -60 + 3n = -42 + 3n + -3n Combine like terms: 3n + -3n = 0 -60 + 3n = -42 + 0 -60 + 3n = -42 Add '60' to each side of the equation. -60 + 60 + 3n = -42 + 60 Combine like terms: -60 + 60 = 0 0 + 3n = -42 + 60 3n = -42 + 60 Combine like terms: -42 + 60 = 18 3n = 18 Divide each side by '3'. n = 6 Simplifying n = 6
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