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Simplifying 7(n + -7) + 1 = -97 Reorder the terms: 7(-7 + n) + 1 = -97 (-7 * 7 + n * 7) + 1 = -97 (-49 + 7n) + 1 = -97 Reorder the terms: -49 + 1 + 7n = -97 Combine like terms: -49 + 1 = -48 -48 + 7n = -97 Solving -48 + 7n = -97 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 7n = -97 + 48 Combine like terms: -48 + 48 = 0 0 + 7n = -97 + 48 7n = -97 + 48 Combine like terms: -97 + 48 = -49 7n = -49 Divide each side by '7'. n = -7 Simplifying n = -7
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