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Simplifying 7(n + -6) = -24 + n Reorder the terms: 7(-6 + n) = -24 + n (-6 * 7 + n * 7) = -24 + n (-42 + 7n) = -24 + n Solving -42 + 7n = -24 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -42 + 7n + -1n = -24 + n + -1n Combine like terms: 7n + -1n = 6n -42 + 6n = -24 + n + -1n Combine like terms: n + -1n = 0 -42 + 6n = -24 + 0 -42 + 6n = -24 Add '42' to each side of the equation. -42 + 42 + 6n = -24 + 42 Combine like terms: -42 + 42 = 0 0 + 6n = -24 + 42 6n = -24 + 42 Combine like terms: -24 + 42 = 18 6n = 18 Divide each side by '6'. n = 3 Simplifying n = 3
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