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Simplifying 6(n + -4) + -1(3 + -2n) = 7n Reorder the terms: 6(-4 + n) + -1(3 + -2n) = 7n (-4 * 6 + n * 6) + -1(3 + -2n) = 7n (-24 + 6n) + -1(3 + -2n) = 7n -24 + 6n + (3 * -1 + -2n * -1) = 7n -24 + 6n + (-3 + 2n) = 7n Reorder the terms: -24 + -3 + 6n + 2n = 7n Combine like terms: -24 + -3 = -27 -27 + 6n + 2n = 7n Combine like terms: 6n + 2n = 8n -27 + 8n = 7n Solving -27 + 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. -27 + 8n + -7n = 7n + -7n Combine like terms: 8n + -7n = 1n -27 + 1n = 7n + -7n Combine like terms: 7n + -7n = 0 -27 + 1n = 0 Add '27' to each side of the equation. -27 + 27 + 1n = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 1n = 0 + 27 1n = 0 + 27 Combine like terms: 0 + 27 = 27 1n = 27 Divide each side by '1'. n = 27 Simplifying n = 27
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