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Simplifying 4(3n + -2) = 5 + -2(n + -1) Reorder the terms: 4(-2 + 3n) = 5 + -2(n + -1) (-2 * 4 + 3n * 4) = 5 + -2(n + -1) (-8 + 12n) = 5 + -2(n + -1) Reorder the terms: -8 + 12n = 5 + -2(-1 + n) -8 + 12n = 5 + (-1 * -2 + n * -2) -8 + 12n = 5 + (2 + -2n) Combine like terms: 5 + 2 = 7 -8 + 12n = 7 + -2n Solving -8 + 12n = 7 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -8 + 12n + 2n = 7 + -2n + 2n Combine like terms: 12n + 2n = 14n -8 + 14n = 7 + -2n + 2n Combine like terms: -2n + 2n = 0 -8 + 14n = 7 + 0 -8 + 14n = 7 Add '8' to each side of the equation. -8 + 8 + 14n = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 14n = 7 + 8 14n = 7 + 8 Combine like terms: 7 + 8 = 15 14n = 15 Divide each side by '14'. n = 1.071428571 Simplifying n = 1.071428571
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