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Simplifying (n + -6) * 7 = 42 Reorder the terms: (-6 + n) * 7 = 42 Reorder the terms for easier multiplication: 7(-6 + n) = 42 (-6 * 7 + n * 7) = 42 (-42 + 7n) = 42 Solving -42 + 7n = 42 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 7n = 42 + 42 Combine like terms: -42 + 42 = 0 0 + 7n = 42 + 42 7n = 42 + 42 Combine like terms: 42 + 42 = 84 7n = 84 Divide each side by '7'. n = 12 Simplifying n = 12
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