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Simplifying 6n + -15(9n + 14) = -3(-20n + 7) Reorder the terms: 6n + -15(14 + 9n) = -3(-20n + 7) 6n + (14 * -15 + 9n * -15) = -3(-20n + 7) 6n + (-210 + -135n) = -3(-20n + 7) Reorder the terms: -210 + 6n + -135n = -3(-20n + 7) Combine like terms: 6n + -135n = -129n -210 + -129n = -3(-20n + 7) Reorder the terms: -210 + -129n = -3(7 + -20n) -210 + -129n = (7 * -3 + -20n * -3) -210 + -129n = (-21 + 60n) Solving -210 + -129n = -21 + 60n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-60n' to each side of the equation. -210 + -129n + -60n = -21 + 60n + -60n Combine like terms: -129n + -60n = -189n -210 + -189n = -21 + 60n + -60n Combine like terms: 60n + -60n = 0 -210 + -189n = -21 + 0 -210 + -189n = -21 Add '210' to each side of the equation. -210 + 210 + -189n = -21 + 210 Combine like terms: -210 + 210 = 0 0 + -189n = -21 + 210 -189n = -21 + 210 Combine like terms: -21 + 210 = 189 -189n = 189 Divide each side by '-189'. n = -1 Simplifying n = -1
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