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Simplifying 5n + 6 = 7(n + 3) + -3n Reorder the terms: 6 + 5n = 7(n + 3) + -3n Reorder the terms: 6 + 5n = 7(3 + n) + -3n 6 + 5n = (3 * 7 + n * 7) + -3n 6 + 5n = (21 + 7n) + -3n Combine like terms: 7n + -3n = 4n 6 + 5n = 21 + 4n Solving 6 + 5n = 21 + 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. 6 + 5n + -4n = 21 + 4n + -4n Combine like terms: 5n + -4n = 1n 6 + 1n = 21 + 4n + -4n Combine like terms: 4n + -4n = 0 6 + 1n = 21 + 0 6 + 1n = 21 Add '-6' to each side of the equation. 6 + -6 + 1n = 21 + -6 Combine like terms: 6 + -6 = 0 0 + 1n = 21 + -6 1n = 21 + -6 Combine like terms: 21 + -6 = 15 1n = 15 Divide each side by '1'. n = 15 Simplifying n = 15
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