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Simplifying 10 + -1(2n + -7) = 3 + -3n Reorder the terms: 10 + -1(-7 + 2n) = 3 + -3n 10 + (-7 * -1 + 2n * -1) = 3 + -3n 10 + (7 + -2n) = 3 + -3n Combine like terms: 10 + 7 = 17 17 + -2n = 3 + -3n Solving 17 + -2n = 3 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 17 + -2n + 3n = 3 + -3n + 3n Combine like terms: -2n + 3n = 1n 17 + 1n = 3 + -3n + 3n Combine like terms: -3n + 3n = 0 17 + 1n = 3 + 0 17 + 1n = 3 Add '-17' to each side of the equation. 17 + -17 + 1n = 3 + -17 Combine like terms: 17 + -17 = 0 0 + 1n = 3 + -17 1n = 3 + -17 Combine like terms: 3 + -17 = -14 1n = -14 Divide each side by '1'. n = -14 Simplifying n = -14
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