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Simplifying 6(n + -4) + -1(7 + -2n) = 7n Reorder the terms: 6(-4 + n) + -1(7 + -2n) = 7n (-4 * 6 + n * 6) + -1(7 + -2n) = 7n (-24 + 6n) + -1(7 + -2n) = 7n -24 + 6n + (7 * -1 + -2n * -1) = 7n -24 + 6n + (-7 + 2n) = 7n Reorder the terms: -24 + -7 + 6n + 2n = 7n Combine like terms: -24 + -7 = -31 -31 + 6n + 2n = 7n Combine like terms: 6n + 2n = 8n -31 + 8n = 7n Solving -31 + 8n = 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -31 + 8n + -7n = 7n + -7n Combine like terms: 8n + -7n = 1n -31 + 1n = 7n + -7n Combine like terms: 7n + -7n = 0 -31 + 1n = 0 Add '31' to each side of the equation. -31 + 31 + 1n = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 1n = 0 + 31 1n = 0 + 31 Combine like terms: 0 + 31 = 31 1n = 31 Divide each side by '1'. n = 31 Simplifying n = 31
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