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Simplifying n * 5 + 156 = n * 14 + -6 Reorder the terms for easier multiplication: 5n + 156 = n * 14 + -6 Reorder the terms: 156 + 5n = n * 14 + -6 Reorder the terms for easier multiplication: 156 + 5n = 14n + -6 Reorder the terms: 156 + 5n = -6 + 14n Solving 156 + 5n = -6 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. 156 + 5n + -14n = -6 + 14n + -14n Combine like terms: 5n + -14n = -9n 156 + -9n = -6 + 14n + -14n Combine like terms: 14n + -14n = 0 156 + -9n = -6 + 0 156 + -9n = -6 Add '-156' to each side of the equation. 156 + -156 + -9n = -6 + -156 Combine like terms: 156 + -156 = 0 0 + -9n = -6 + -156 -9n = -6 + -156 Combine like terms: -6 + -156 = -162 -9n = -162 Divide each side by '-9'. n = 18 Simplifying n = 18
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