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Simplifying 39 + 6n = 7(n + 5) Reorder the terms: 39 + 6n = 7(5 + n) 39 + 6n = (5 * 7 + n * 7) 39 + 6n = (35 + 7n) Solving 39 + 6n = 35 + 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. 39 + 6n + -7n = 35 + 7n + -7n Combine like terms: 6n + -7n = -1n 39 + -1n = 35 + 7n + -7n Combine like terms: 7n + -7n = 0 39 + -1n = 35 + 0 39 + -1n = 35 Add '-39' to each side of the equation. 39 + -39 + -1n = 35 + -39 Combine like terms: 39 + -39 = 0 0 + -1n = 35 + -39 -1n = 35 + -39 Combine like terms: 35 + -39 = -4 -1n = -4 Divide each side by '-1'. n = 4 Simplifying n = 4
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