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Simplifying 10 + -1(3n + -9) = 7 + -4n Reorder the terms: 10 + -1(-9 + 3n) = 7 + -4n 10 + (-9 * -1 + 3n * -1) = 7 + -4n 10 + (9 + -3n) = 7 + -4n Combine like terms: 10 + 9 = 19 19 + -3n = 7 + -4n Solving 19 + -3n = 7 + -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. 19 + -3n + 4n = 7 + -4n + 4n Combine like terms: -3n + 4n = 1n 19 + 1n = 7 + -4n + 4n Combine like terms: -4n + 4n = 0 19 + 1n = 7 + 0 19 + 1n = 7 Add '-19' to each side of the equation. 19 + -19 + 1n = 7 + -19 Combine like terms: 19 + -19 = 0 0 + 1n = 7 + -19 1n = 7 + -19 Combine like terms: 7 + -19 = -12 1n = -12 Divide each side by '1'. n = -12 Simplifying n = -12
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