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Simplifying 5n + 14 = 3(2n + 21) Reorder the terms: 14 + 5n = 3(2n + 21) Reorder the terms: 14 + 5n = 3(21 + 2n) 14 + 5n = (21 * 3 + 2n * 3) 14 + 5n = (63 + 6n) Solving 14 + 5n = 63 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 14 + 5n + -6n = 63 + 6n + -6n Combine like terms: 5n + -6n = -1n 14 + -1n = 63 + 6n + -6n Combine like terms: 6n + -6n = 0 14 + -1n = 63 + 0 14 + -1n = 63 Add '-14' to each side of the equation. 14 + -14 + -1n = 63 + -14 Combine like terms: 14 + -14 = 0 0 + -1n = 63 + -14 -1n = 63 + -14 Combine like terms: 63 + -14 = 49 -1n = 49 Divide each side by '-1'. n = -49 Simplifying n = -49
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