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Simplifying 4n + 5 + 3x = 47 Reorder the terms: 5 + 4n + 3x = 47 Solving 5 + 4n + 3x = 47 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 4n + -5 + 3x = 47 + -5 Reorder the terms: 5 + -5 + 4n + 3x = 47 + -5 Combine like terms: 5 + -5 = 0 0 + 4n + 3x = 47 + -5 4n + 3x = 47 + -5 Combine like terms: 47 + -5 = 42 4n + 3x = 42 Add '-3x' to each side of the equation. 4n + 3x + -3x = 42 + -3x Combine like terms: 3x + -3x = 0 4n + 0 = 42 + -3x 4n = 42 + -3x Divide each side by '4'. n = 10.5 + -0.75x Simplifying n = 10.5 + -0.75x
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