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Simplifying 14 + 1n + -4 + 3 = 1 + 7n Reorder the terms: 14 + -4 + 3 + 1n = 1 + 7n Combine like terms: 14 + -4 = 10 10 + 3 + 1n = 1 + 7n Combine like terms: 10 + 3 = 13 13 + 1n = 1 + 7n Solving 13 + 1n = 1 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 13 + 1n + -7n = 1 + 7n + -7n Combine like terms: 1n + -7n = -6n 13 + -6n = 1 + 7n + -7n Combine like terms: 7n + -7n = 0 13 + -6n = 1 + 0 13 + -6n = 1 Add '-13' to each side of the equation. 13 + -13 + -6n = 1 + -13 Combine like terms: 13 + -13 = 0 0 + -6n = 1 + -13 -6n = 1 + -13 Combine like terms: 1 + -13 = -12 -6n = -12 Divide each side by '-6'. n = 2 Simplifying n = 2
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