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Simplifying -6(9 + 2n) + -1(1 + -7n) = 0 (9 * -6 + 2n * -6) + -1(1 + -7n) = 0 (-54 + -12n) + -1(1 + -7n) = 0 -54 + -12n + (1 * -1 + -7n * -1) = 0 -54 + -12n + (-1 + 7n) = 0 Reorder the terms: -54 + -1 + -12n + 7n = 0 Combine like terms: -54 + -1 = -55 -55 + -12n + 7n = 0 Combine like terms: -12n + 7n = -5n -55 + -5n = 0 Solving -55 + -5n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 55 + -5n = 0 + 55 Combine like terms: -55 + 55 = 0 0 + -5n = 0 + 55 -5n = 0 + 55 Combine like terms: 0 + 55 = 55 -5n = 55 Divide each side by '-5'. n = -11 Simplifying n = -11
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