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Simplifying 7(2n + 6) = -4(3n + -2) Reorder the terms: 7(6 + 2n) = -4(3n + -2) (6 * 7 + 2n * 7) = -4(3n + -2) (42 + 14n) = -4(3n + -2) Reorder the terms: 42 + 14n = -4(-2 + 3n) 42 + 14n = (-2 * -4 + 3n * -4) 42 + 14n = (8 + -12n) Solving 42 + 14n = 8 + -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. 42 + 14n + 12n = 8 + -12n + 12n Combine like terms: 14n + 12n = 26n 42 + 26n = 8 + -12n + 12n Combine like terms: -12n + 12n = 0 42 + 26n = 8 + 0 42 + 26n = 8 Add '-42' to each side of the equation. 42 + -42 + 26n = 8 + -42 Combine like terms: 42 + -42 = 0 0 + 26n = 8 + -42 26n = 8 + -42 Combine like terms: 8 + -42 = -34 26n = -34 Divide each side by '26'. n = -1.307692308 Simplifying n = -1.307692308
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