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Simplifying 46 + 5n = 4(3n + 1) Reorder the terms: 46 + 5n = 4(1 + 3n) 46 + 5n = (1 * 4 + 3n * 4) 46 + 5n = (4 + 12n) Solving 46 + 5n = 4 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 46 + 5n + -12n = 4 + 12n + -12n Combine like terms: 5n + -12n = -7n 46 + -7n = 4 + 12n + -12n Combine like terms: 12n + -12n = 0 46 + -7n = 4 + 0 46 + -7n = 4 Add '-46' to each side of the equation. 46 + -46 + -7n = 4 + -46 Combine like terms: 46 + -46 = 0 0 + -7n = 4 + -46 -7n = 4 + -46 Combine like terms: 4 + -46 = -42 -7n = -42 Divide each side by '-7'. n = 6 Simplifying n = 6
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