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Simplifying 4 + 5n = 3(4n + -8) Reorder the terms: 4 + 5n = 3(-8 + 4n) 4 + 5n = (-8 * 3 + 4n * 3) 4 + 5n = (-24 + 12n) Solving 4 + 5n = -24 + 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. 4 + 5n + -12n = -24 + 12n + -12n Combine like terms: 5n + -12n = -7n 4 + -7n = -24 + 12n + -12n Combine like terms: 12n + -12n = 0 4 + -7n = -24 + 0 4 + -7n = -24 Add '-4' to each side of the equation. 4 + -4 + -7n = -24 + -4 Combine like terms: 4 + -4 = 0 0 + -7n = -24 + -4 -7n = -24 + -4 Combine like terms: -24 + -4 = -28 -7n = -28 Divide each side by '-7'. n = 4 Simplifying n = 4
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