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Simplifying 10 + 5n = 4(n + 4) Reorder the terms: 10 + 5n = 4(4 + n) 10 + 5n = (4 * 4 + n * 4) 10 + 5n = (16 + 4n) Solving 10 + 5n = 16 + 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. 10 + 5n + -4n = 16 + 4n + -4n Combine like terms: 5n + -4n = 1n 10 + 1n = 16 + 4n + -4n Combine like terms: 4n + -4n = 0 10 + 1n = 16 + 0 10 + 1n = 16 Add '-10' to each side of the equation. 10 + -10 + 1n = 16 + -10 Combine like terms: 10 + -10 = 0 0 + 1n = 16 + -10 1n = 16 + -10 Combine like terms: 16 + -10 = 6 1n = 6 Divide each side by '1'. n = 6 Simplifying n = 6
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