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Simplifying -92 = -8 + 7(n + -4) Reorder the terms: -92 = -8 + 7(-4 + n) -92 = -8 + (-4 * 7 + n * 7) -92 = -8 + (-28 + 7n) Combine like terms: -8 + -28 = -36 -92 = -36 + 7n Solving -92 = -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. -92 + -7n = -36 + 7n + -7n Combine like terms: 7n + -7n = 0 -92 + -7n = -36 + 0 -92 + -7n = -36 Add '92' to each side of the equation. -92 + 92 + -7n = -36 + 92 Combine like terms: -92 + 92 = 0 0 + -7n = -36 + 92 -7n = -36 + 92 Combine like terms: -36 + 92 = 56 -7n = 56 Divide each side by '-7'. n = -8 Simplifying n = -8
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