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Simplifying 6(n + -7) = -24 + 3n Reorder the terms: 6(-7 + n) = -24 + 3n (-7 * 6 + n * 6) = -24 + 3n (-42 + 6n) = -24 + 3n Solving -42 + 6n = -24 + 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. -42 + 6n + -3n = -24 + 3n + -3n Combine like terms: 6n + -3n = 3n -42 + 3n = -24 + 3n + -3n Combine like terms: 3n + -3n = 0 -42 + 3n = -24 + 0 -42 + 3n = -24 Add '42' to each side of the equation. -42 + 42 + 3n = -24 + 42 Combine like terms: -42 + 42 = 0 0 + 3n = -24 + 42 3n = -24 + 42 Combine like terms: -24 + 42 = 18 3n = 18 Divide each side by '3'. n = 6 Simplifying n = 6
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