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Simplifying 217 = -7(1 + 4n) 217 = (1 * -7 + 4n * -7) 217 = (-7 + -28n) Solving 217 = -7 + -28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '28n' to each side of the equation. 217 + 28n = -7 + -28n + 28n Combine like terms: -28n + 28n = 0 217 + 28n = -7 + 0 217 + 28n = -7 Add '-217' to each side of the equation. 217 + -217 + 28n = -7 + -217 Combine like terms: 217 + -217 = 0 0 + 28n = -7 + -217 28n = -7 + -217 Combine like terms: -7 + -217 = -224 28n = -224 Divide each side by '28'. n = -8 Simplifying n = -8
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