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Simplifying 10 + -1(3n + -4) = 5 + -4n Reorder the terms: 10 + -1(-4 + 3n) = 5 + -4n 10 + (-4 * -1 + 3n * -1) = 5 + -4n 10 + (4 + -3n) = 5 + -4n Combine like terms: 10 + 4 = 14 14 + -3n = 5 + -4n Solving 14 + -3n = 5 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 14 + -3n + 4n = 5 + -4n + 4n Combine like terms: -3n + 4n = 1n 14 + 1n = 5 + -4n + 4n Combine like terms: -4n + 4n = 0 14 + 1n = 5 + 0 14 + 1n = 5 Add '-14' to each side of the equation. 14 + -14 + 1n = 5 + -14 Combine like terms: 14 + -14 = 0 0 + 1n = 5 + -14 1n = 5 + -14 Combine like terms: 5 + -14 = -9 1n = -9 Divide each side by '1'. n = -9 Simplifying n = -9
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