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Simplifying 146 = 6 + (n + -1) * 7 Reorder the terms: 146 = 6 + (-1 + n) * 7 Reorder the terms for easier multiplication: 146 = 6 + 7(-1 + n) 146 = 6 + (-1 * 7 + n * 7) 146 = 6 + (-7 + 7n) Combine like terms: 6 + -7 = -1 146 = -1 + 7n Solving 146 = -1 + 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. 146 + -7n = -1 + 7n + -7n Combine like terms: 7n + -7n = 0 146 + -7n = -1 + 0 146 + -7n = -1 Add '-146' to each side of the equation. 146 + -146 + -7n = -1 + -146 Combine like terms: 146 + -146 = 0 0 + -7n = -1 + -146 -7n = -1 + -146 Combine like terms: -1 + -146 = -147 -7n = -147 Divide each side by '-7'. n = 21 Simplifying n = 21
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