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Simplifying 106 = 1 + 7(n + 5) Reorder the terms: 106 = 1 + 7(5 + n) 106 = 1 + (5 * 7 + n * 7) 106 = 1 + (35 + 7n) Combine like terms: 1 + 35 = 36 106 = 36 + 7n Solving 106 = 36 + 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. 106 + -7n = 36 + 7n + -7n Combine like terms: 7n + -7n = 0 106 + -7n = 36 + 0 106 + -7n = 36 Add '-106' to each side of the equation. 106 + -106 + -7n = 36 + -106 Combine like terms: 106 + -106 = 0 0 + -7n = 36 + -106 -7n = 36 + -106 Combine like terms: 36 + -106 = -70 -7n = -70 Divide each side by '-7'. n = 10 Simplifying n = 10
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