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Simplifying 2(2 + -3n) = [-5 + -1(4 + -1n)] (2 * 2 + -3n * 2) = [-5 + -1(4 + -1n)] (4 + -6n) = [-5 + -1(4 + -1n)] 4 + -6n = [-5 + (4 * -1 + -1n * -1)] 4 + -6n = [-5 + (-4 + 1n)] Combine like terms: -5 + -4 = -9 4 + -6n = [-9 + 1n] Remove brackets around [-9 + 1n] 4 + -6n = -9 + 1n Solving 4 + -6n = -9 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 4 + -6n + -1n = -9 + 1n + -1n Combine like terms: -6n + -1n = -7n 4 + -7n = -9 + 1n + -1n Combine like terms: 1n + -1n = 0 4 + -7n = -9 + 0 4 + -7n = -9 Add '-4' to each side of the equation. 4 + -4 + -7n = -9 + -4 Combine like terms: 4 + -4 = 0 0 + -7n = -9 + -4 -7n = -9 + -4 Combine like terms: -9 + -4 = -13 -7n = -13 Divide each side by '-7'. n = 1.857142857 Simplifying n = 1.857142857
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