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Simplifying 84 = 14 + (n + -1) * 7 Reorder the terms: 84 = 14 + (-1 + n) * 7 Reorder the terms for easier multiplication: 84 = 14 + 7(-1 + n) 84 = 14 + (-1 * 7 + n * 7) 84 = 14 + (-7 + 7n) Combine like terms: 14 + -7 = 7 84 = 7 + 7n Solving 84 = 7 + 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 = 7 + 7n + -7n Combine like terms: 7n + -7n = 0 84 + -7n = 7 + 0 84 + -7n = 7 Add '-84' to each side of the equation. 84 + -84 + -7n = 7 + -84 Combine like terms: 84 + -84 = 0 0 + -7n = 7 + -84 -7n = 7 + -84 Combine like terms: 7 + -84 = -77 -7n = -77 Divide each side by '-7'. n = 11 Simplifying n = 11
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