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Simplifying 6(n + 4) = 8 + 7n Reorder the terms: 6(4 + n) = 8 + 7n (4 * 6 + n * 6) = 8 + 7n (24 + 6n) = 8 + 7n Solving 24 + 6n = 8 + 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. 24 + 6n + -7n = 8 + 7n + -7n Combine like terms: 6n + -7n = -1n 24 + -1n = 8 + 7n + -7n Combine like terms: 7n + -7n = 0 24 + -1n = 8 + 0 24 + -1n = 8 Add '-24' to each side of the equation. 24 + -24 + -1n = 8 + -24 Combine like terms: 24 + -24 = 0 0 + -1n = 8 + -24 -1n = 8 + -24 Combine like terms: 8 + -24 = -16 -1n = -16 Divide each side by '-1'. n = 16 Simplifying n = 16
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