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Simplifying 447 = (-8) + -1(7)(n + 1) 447 = -8 + -1(7)(n + 1) Reorder the terms: 447 = -8 + -1 * 7(1 + n) Multiply -1 * 7 447 = -8 + -7(1 + n) 447 = -8 + (1 * -7 + n * -7) 447 = -8 + (-7 + -7n) Combine like terms: -8 + -7 = -15 447 = -15 + -7n Solving 447 = -15 + -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. 447 + 7n = -15 + -7n + 7n Combine like terms: -7n + 7n = 0 447 + 7n = -15 + 0 447 + 7n = -15 Add '-447' to each side of the equation. 447 + -447 + 7n = -15 + -447 Combine like terms: 447 + -447 = 0 0 + 7n = -15 + -447 7n = -15 + -447 Combine like terms: -15 + -447 = -462 7n = -462 Divide each side by '7'. n = -66 Simplifying n = -66
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