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Simplifying -217 = 7(6n + 5) Reorder the terms: -217 = 7(5 + 6n) -217 = (5 * 7 + 6n * 7) -217 = (35 + 42n) Solving -217 = 35 + 42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42n' to each side of the equation. -217 + -42n = 35 + 42n + -42n Combine like terms: 42n + -42n = 0 -217 + -42n = 35 + 0 -217 + -42n = 35 Add '217' to each side of the equation. -217 + 217 + -42n = 35 + 217 Combine like terms: -217 + 217 = 0 0 + -42n = 35 + 217 -42n = 35 + 217 Combine like terms: 35 + 217 = 252 -42n = 252 Divide each side by '-42'. n = -6 Simplifying n = -6
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