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Simplifying 10 + -1(3n + -7) = 6 + -4n Reorder the terms: 10 + -1(-7 + 3n) = 6 + -4n 10 + (-7 * -1 + 3n * -1) = 6 + -4n 10 + (7 + -3n) = 6 + -4n Combine like terms: 10 + 7 = 17 17 + -3n = 6 + -4n Solving 17 + -3n = 6 + -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. 17 + -3n + 4n = 6 + -4n + 4n Combine like terms: -3n + 4n = 1n 17 + 1n = 6 + -4n + 4n Combine like terms: -4n + 4n = 0 17 + 1n = 6 + 0 17 + 1n = 6 Add '-17' to each side of the equation. 17 + -17 + 1n = 6 + -17 Combine like terms: 17 + -17 = 0 0 + 1n = 6 + -17 1n = 6 + -17 Combine like terms: 6 + -17 = -11 1n = -11 Divide each side by '1'. n = -11 Simplifying n = -11
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