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Simplifying 7 + -6(5n + 1) = -209 Reorder the terms: 7 + -6(1 + 5n) = -209 7 + (1 * -6 + 5n * -6) = -209 7 + (-6 + -30n) = -209 Combine like terms: 7 + -6 = 1 1 + -30n = -209 Solving 1 + -30n = -209 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -30n = -209 + -1 Combine like terms: 1 + -1 = 0 0 + -30n = -209 + -1 -30n = -209 + -1 Combine like terms: -209 + -1 = -210 -30n = -210 Divide each side by '-30'. n = 7 Simplifying n = 7
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