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Simplifying 6(n + -5) + -1(4 + -2n) = 7n Reorder the terms: 6(-5 + n) + -1(4 + -2n) = 7n (-5 * 6 + n * 6) + -1(4 + -2n) = 7n (-30 + 6n) + -1(4 + -2n) = 7n -30 + 6n + (4 * -1 + -2n * -1) = 7n -30 + 6n + (-4 + 2n) = 7n Reorder the terms: -30 + -4 + 6n + 2n = 7n Combine like terms: -30 + -4 = -34 -34 + 6n + 2n = 7n Combine like terms: 6n + 2n = 8n -34 + 8n = 7n Solving -34 + 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. -34 + 8n + -7n = 7n + -7n Combine like terms: 8n + -7n = 1n -34 + 1n = 7n + -7n Combine like terms: 7n + -7n = 0 -34 + 1n = 0 Add '34' to each side of the equation. -34 + 34 + 1n = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 1n = 0 + 34 1n = 0 + 34 Combine like terms: 0 + 34 = 34 1n = 34 Divide each side by '1'. n = 34 Simplifying n = 34
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