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Simplifying 5(n + -2) + -14n = -3(-5 + -4n) Reorder the terms: 5(-2 + n) + -14n = -3(-5 + -4n) (-2 * 5 + n * 5) + -14n = -3(-5 + -4n) (-10 + 5n) + -14n = -3(-5 + -4n) Combine like terms: 5n + -14n = -9n -10 + -9n = -3(-5 + -4n) -10 + -9n = (-5 * -3 + -4n * -3) -10 + -9n = (15 + 12n) Solving -10 + -9n = 15 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -10 + -9n + -12n = 15 + 12n + -12n Combine like terms: -9n + -12n = -21n -10 + -21n = 15 + 12n + -12n Combine like terms: 12n + -12n = 0 -10 + -21n = 15 + 0 -10 + -21n = 15 Add '10' to each side of the equation. -10 + 10 + -21n = 15 + 10 Combine like terms: -10 + 10 = 0 0 + -21n = 15 + 10 -21n = 15 + 10 Combine like terms: 15 + 10 = 25 -21n = 25 Divide each side by '-21'. n = -1.19047619 Simplifying n = -1.19047619
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