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Simplifying 2(n + -7) + -1(4 + -6n) = 7n Reorder the terms: 2(-7 + n) + -1(4 + -6n) = 7n (-7 * 2 + n * 2) + -1(4 + -6n) = 7n (-14 + 2n) + -1(4 + -6n) = 7n -14 + 2n + (4 * -1 + -6n * -1) = 7n -14 + 2n + (-4 + 6n) = 7n Reorder the terms: -14 + -4 + 2n + 6n = 7n Combine like terms: -14 + -4 = -18 -18 + 2n + 6n = 7n Combine like terms: 2n + 6n = 8n -18 + 8n = 7n Solving -18 + 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. -18 + 8n + -7n = 7n + -7n Combine like terms: 8n + -7n = 1n -18 + 1n = 7n + -7n Combine like terms: 7n + -7n = 0 -18 + 1n = 0 Add '18' to each side of the equation. -18 + 18 + 1n = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 1n = 0 + 18 1n = 0 + 18 Combine like terms: 0 + 18 = 18 1n = 18 Divide each side by '1'. n = 18 Simplifying n = 18
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