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Simplifying -7(1 + 6n) = -217 (1 * -7 + 6n * -7) = -217 (-7 + -42n) = -217 Solving -7 + -42n = -217 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 + -42n = -217 + 7 Combine like terms: -7 + 7 = 0 0 + -42n = -217 + 7 -42n = -217 + 7 Combine like terms: -217 + 7 = -210 -42n = -210 Divide each side by '-42'. n = 5 Simplifying n = 5
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