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Simplifying -6(5n + 7) = 27 + -7n Reorder the terms: -6(7 + 5n) = 27 + -7n (7 * -6 + 5n * -6) = 27 + -7n (-42 + -30n) = 27 + -7n Solving -42 + -30n = 27 + -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. -42 + -30n + 7n = 27 + -7n + 7n Combine like terms: -30n + 7n = -23n -42 + -23n = 27 + -7n + 7n Combine like terms: -7n + 7n = 0 -42 + -23n = 27 + 0 -42 + -23n = 27 Add '42' to each side of the equation. -42 + 42 + -23n = 27 + 42 Combine like terms: -42 + 42 = 0 0 + -23n = 27 + 42 -23n = 27 + 42 Combine like terms: 27 + 42 = 69 -23n = 69 Divide each side by '-23'. n = -3 Simplifying n = -3
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