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Simplifying -6(n + -2) + -7(n + 6) = -69 Reorder the terms: -6(-2 + n) + -7(n + 6) = -69 (-2 * -6 + n * -6) + -7(n + 6) = -69 (12 + -6n) + -7(n + 6) = -69 Reorder the terms: 12 + -6n + -7(6 + n) = -69 12 + -6n + (6 * -7 + n * -7) = -69 12 + -6n + (-42 + -7n) = -69 Reorder the terms: 12 + -42 + -6n + -7n = -69 Combine like terms: 12 + -42 = -30 -30 + -6n + -7n = -69 Combine like terms: -6n + -7n = -13n -30 + -13n = -69 Solving -30 + -13n = -69 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -13n = -69 + 30 Combine like terms: -30 + 30 = 0 0 + -13n = -69 + 30 -13n = -69 + 30 Combine like terms: -69 + 30 = -39 -13n = -39 Divide each side by '-13'. n = 3 Simplifying n = 3
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