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Simplifying 7n + -24 = -78 + n Reorder the terms: -24 + 7n = -78 + n Solving -24 + 7n = -78 + 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. -24 + 7n + -1n = -78 + n + -1n Combine like terms: 7n + -1n = 6n -24 + 6n = -78 + n + -1n Combine like terms: n + -1n = 0 -24 + 6n = -78 + 0 -24 + 6n = -78 Add '24' to each side of the equation. -24 + 24 + 6n = -78 + 24 Combine like terms: -24 + 24 = 0 0 + 6n = -78 + 24 6n = -78 + 24 Combine like terms: -78 + 24 = -54 6n = -54 Divide each side by '6'. n = -9 Simplifying n = -9
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