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Simplifying 84 = 7(n + 5) Reorder the terms: 84 = 7(5 + n) 84 = (5 * 7 + n * 7) 84 = (35 + 7n) Solving 84 = 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. 84 + -7n = 35 + 7n + -7n Combine like terms: 7n + -7n = 0 84 + -7n = 35 + 0 84 + -7n = 35 Add '-84' to each side of the equation. 84 + -84 + -7n = 35 + -84 Combine like terms: 84 + -84 = 0 0 + -7n = 35 + -84 -7n = 35 + -84 Combine like terms: 35 + -84 = -49 -7n = -49 Divide each side by '-7'. n = 7 Simplifying n = 7
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