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Simplifying 7(n + -3) + -1(3 + -1n) = 0 Reorder the terms: 7(-3 + n) + -1(3 + -1n) = 0 (-3 * 7 + n * 7) + -1(3 + -1n) = 0 (-21 + 7n) + -1(3 + -1n) = 0 -21 + 7n + (3 * -1 + -1n * -1) = 0 -21 + 7n + (-3 + 1n) = 0 Reorder the terms: -21 + -3 + 7n + 1n = 0 Combine like terms: -21 + -3 = -24 -24 + 7n + 1n = 0 Combine like terms: 7n + 1n = 8n -24 + 8n = 0 Solving -24 + 8n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 8n = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 8n = 0 + 24 8n = 0 + 24 Combine like terms: 0 + 24 = 24 8n = 24 Divide each side by '8'. n = 3 Simplifying n = 3
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