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Simplifying 5(n) + -21 = 4(n) + 14 Reorder the terms: -21 + 5n = 4(n) + 14 Reorder the terms: -21 + 5n = 14 + 4n Solving -21 + 5n = 14 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -21 + 5n + -4n = 14 + 4n + -4n Combine like terms: 5n + -4n = 1n -21 + 1n = 14 + 4n + -4n Combine like terms: 4n + -4n = 0 -21 + 1n = 14 + 0 -21 + 1n = 14 Add '21' to each side of the equation. -21 + 21 + 1n = 14 + 21 Combine like terms: -21 + 21 = 0 0 + 1n = 14 + 21 1n = 14 + 21 Combine like terms: 14 + 21 = 35 1n = 35 Divide each side by '1'. n = 35 Simplifying n = 35
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