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Simplifying 217 = 7(-5n + 6) Reorder the terms: 217 = 7(6 + -5n) 217 = (6 * 7 + -5n * 7) 217 = (42 + -35n) Solving 217 = 42 + -35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '35n' to each side of the equation. 217 + 35n = 42 + -35n + 35n Combine like terms: -35n + 35n = 0 217 + 35n = 42 + 0 217 + 35n = 42 Add '-217' to each side of the equation. 217 + -217 + 35n = 42 + -217 Combine like terms: 217 + -217 = 0 0 + 35n = 42 + -217 35n = 42 + -217 Combine like terms: 42 + -217 = -175 35n = -175 Divide each side by '35'. n = -5 Simplifying n = -5
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