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Simplifying 5 + -5(6n + -1) = -36 + -7n Reorder the terms: 5 + -5(-1 + 6n) = -36 + -7n 5 + (-1 * -5 + 6n * -5) = -36 + -7n 5 + (5 + -30n) = -36 + -7n Combine like terms: 5 + 5 = 10 10 + -30n = -36 + -7n Solving 10 + -30n = -36 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 10 + -30n + 7n = -36 + -7n + 7n Combine like terms: -30n + 7n = -23n 10 + -23n = -36 + -7n + 7n Combine like terms: -7n + 7n = 0 10 + -23n = -36 + 0 10 + -23n = -36 Add '-10' to each side of the equation. 10 + -10 + -23n = -36 + -10 Combine like terms: 10 + -10 = 0 0 + -23n = -36 + -10 -23n = -36 + -10 Combine like terms: -36 + -10 = -46 -23n = -46 Divide each side by '-23'. n = 2 Simplifying n = 2
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