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Simplifying 6(n + -3) + -1(7 + -2n) = 7n Reorder the terms: 6(-3 + n) + -1(7 + -2n) = 7n (-3 * 6 + n * 6) + -1(7 + -2n) = 7n (-18 + 6n) + -1(7 + -2n) = 7n -18 + 6n + (7 * -1 + -2n * -1) = 7n -18 + 6n + (-7 + 2n) = 7n Reorder the terms: -18 + -7 + 6n + 2n = 7n Combine like terms: -18 + -7 = -25 -25 + 6n + 2n = 7n Combine like terms: 6n + 2n = 8n -25 + 8n = 7n Solving -25 + 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. -25 + 8n + -7n = 7n + -7n Combine like terms: 8n + -7n = 1n -25 + 1n = 7n + -7n Combine like terms: 7n + -7n = 0 -25 + 1n = 0 Add '25' to each side of the equation. -25 + 25 + 1n = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 1n = 0 + 25 1n = 0 + 25 Combine like terms: 0 + 25 = 25 1n = 25 Divide each side by '1'. n = 25 Simplifying n = 25
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