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Simplifying 8(n + -3) + -1(1 + -7n) = 14n Reorder the terms: 8(-3 + n) + -1(1 + -7n) = 14n (-3 * 8 + n * 8) + -1(1 + -7n) = 14n (-24 + 8n) + -1(1 + -7n) = 14n -24 + 8n + (1 * -1 + -7n * -1) = 14n -24 + 8n + (-1 + 7n) = 14n Reorder the terms: -24 + -1 + 8n + 7n = 14n Combine like terms: -24 + -1 = -25 -25 + 8n + 7n = 14n Combine like terms: 8n + 7n = 15n -25 + 15n = 14n Solving -25 + 15n = 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. -25 + 15n + -14n = 14n + -14n Combine like terms: 15n + -14n = 1n -25 + 1n = 14n + -14n Combine like terms: 14n + -14n = 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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