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Simplifying n + -5(7 + -6n) = -283 n + (7 * -5 + -6n * -5) = -283 n + (-35 + 30n) = -283 Reorder the terms: -35 + n + 30n = -283 Combine like terms: n + 30n = 31n -35 + 31n = -283 Solving -35 + 31n = -283 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 31n = -283 + 35 Combine like terms: -35 + 35 = 0 0 + 31n = -283 + 35 31n = -283 + 35 Combine like terms: -283 + 35 = -248 31n = -248 Divide each side by '31'. n = -8 Simplifying n = -8
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