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Simplifying 447 = -8(1 + -7n) + 7 447 = (1 * -8 + -7n * -8) + 7 447 = (-8 + 56n) + 7 Reorder the terms: 447 = -8 + 7 + 56n Combine like terms: -8 + 7 = -1 447 = -1 + 56n Solving 447 = -1 + 56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-56n' to each side of the equation. 447 + -56n = -1 + 56n + -56n Combine like terms: 56n + -56n = 0 447 + -56n = -1 + 0 447 + -56n = -1 Add '-447' to each side of the equation. 447 + -447 + -56n = -1 + -447 Combine like terms: 447 + -447 = 0 0 + -56n = -1 + -447 -56n = -1 + -447 Combine like terms: -1 + -447 = -448 -56n = -448 Divide each side by '-56'. n = 8 Simplifying n = 8
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