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Simplifying 7(n + -8) + -5n = -24 + -6n Reorder the terms: 7(-8 + n) + -5n = -24 + -6n (-8 * 7 + n * 7) + -5n = -24 + -6n (-56 + 7n) + -5n = -24 + -6n Combine like terms: 7n + -5n = 2n -56 + 2n = -24 + -6n Solving -56 + 2n = -24 + -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. -56 + 2n + 6n = -24 + -6n + 6n Combine like terms: 2n + 6n = 8n -56 + 8n = -24 + -6n + 6n Combine like terms: -6n + 6n = 0 -56 + 8n = -24 + 0 -56 + 8n = -24 Add '56' to each side of the equation. -56 + 56 + 8n = -24 + 56 Combine like terms: -56 + 56 = 0 0 + 8n = -24 + 56 8n = -24 + 56 Combine like terms: -24 + 56 = 32 8n = 32 Divide each side by '8'. n = 4 Simplifying n = 4
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