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Simplifying 224 = 8(1 + -4n) + -8 224 = (1 * 8 + -4n * 8) + -8 224 = (8 + -32n) + -8 Reorder the terms: 224 = 8 + -8 + -32n Combine like terms: 8 + -8 = 0 224 = 0 + -32n 224 = -32n Solving 224 = -32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '32n' to each side of the equation. 224 + 32n = -32n + 32n Combine like terms: -32n + 32n = 0 224 + 32n = 0 Add '-224' to each side of the equation. 224 + -224 + 32n = 0 + -224 Combine like terms: 224 + -224 = 0 0 + 32n = 0 + -224 32n = 0 + -224 Combine like terms: 0 + -224 = -224 32n = -224 Divide each side by '32'. n = -7 Simplifying n = -7
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