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Simplifying 3(1 + -2n) + 4n = -5 + -1n (1 * 3 + -2n * 3) + 4n = -5 + -1n (3 + -6n) + 4n = -5 + -1n Combine like terms: -6n + 4n = -2n 3 + -2n = -5 + -1n Solving 3 + -2n = -5 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 3 + -2n + n = -5 + -1n + n Combine like terms: -2n + n = -1n 3 + -1n = -5 + -1n + n Combine like terms: -1n + n = 0 3 + -1n = -5 + 0 3 + -1n = -5 Add '-3' to each side of the equation. 3 + -3 + -1n = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -1n = -5 + -3 -1n = -5 + -3 Combine like terms: -5 + -3 = -8 -1n = -8 Divide each side by '-1'. n = 8 Simplifying n = 8
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