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Simplifying 8n + 3n + -7 = 10(3x + 1) + -5x Reorder the terms: -7 + 8n + 3n = 10(3x + 1) + -5x Combine like terms: 8n + 3n = 11n -7 + 11n = 10(3x + 1) + -5x Reorder the terms: -7 + 11n = 10(1 + 3x) + -5x -7 + 11n = (1 * 10 + 3x * 10) + -5x -7 + 11n = (10 + 30x) + -5x Combine like terms: 30x + -5x = 25x -7 + 11n = 10 + 25x Solving -7 + 11n = 10 + 25x Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 11n = 10 + 7 + 25x Combine like terms: -7 + 7 = 0 0 + 11n = 10 + 7 + 25x 11n = 10 + 7 + 25x Combine like terms: 10 + 7 = 17 11n = 17 + 25x Divide each side by '11'. n = 1.545454545 + 2.272727273x Simplifying n = 1.545454545 + 2.272727273x
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