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Simplifying -14 + 3(n + 10) = 7(2x + 4) + x Reorder the terms: -14 + 3(10 + n) = 7(2x + 4) + x -14 + (10 * 3 + n * 3) = 7(2x + 4) + x -14 + (30 + 3n) = 7(2x + 4) + x Combine like terms: -14 + 30 = 16 16 + 3n = 7(2x + 4) + x Reorder the terms: 16 + 3n = 7(4 + 2x) + x 16 + 3n = (4 * 7 + 2x * 7) + x 16 + 3n = (28 + 14x) + x Combine like terms: 14x + x = 15x 16 + 3n = 28 + 15x Solving 16 + 3n = 28 + 15x Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 3n = 28 + -16 + 15x Combine like terms: 16 + -16 = 0 0 + 3n = 28 + -16 + 15x 3n = 28 + -16 + 15x Combine like terms: 28 + -16 = 12 3n = 12 + 15x Divide each side by '3'. n = 4 + 5x Simplifying n = 4 + 5x
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