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Simplifying 6n + -7(1 + 3n) = -97 6n + (1 * -7 + 3n * -7) = -97 6n + (-7 + -21n) = -97 Reorder the terms: -7 + 6n + -21n = -97 Combine like terms: 6n + -21n = -15n -7 + -15n = -97 Solving -7 + -15n = -97 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -15n = -97 + 7 Combine like terms: -7 + 7 = 0 0 + -15n = -97 + 7 -15n = -97 + 7 Combine like terms: -97 + 7 = -90 -15n = -90 Divide each side by '-15'. n = 6 Simplifying n = 6
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