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Simplifying -6(7n + 2) = 282 Reorder the terms: -6(2 + 7n) = 282 (2 * -6 + 7n * -6) = 282 (-12 + -42n) = 282 Solving -12 + -42n = 282 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -42n = 282 + 12 Combine like terms: -12 + 12 = 0 0 + -42n = 282 + 12 -42n = 282 + 12 Combine like terms: 282 + 12 = 294 -42n = 294 Divide each side by '-42'. n = -7 Simplifying n = -7
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