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Simplifying -4n + 3 = 2n + 19 Reorder the terms: 3 + -4n = 2n + 19 Reorder the terms: 3 + -4n = 19 + 2n Solving 3 + -4n = 19 + 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. 3 + -4n + -2n = 19 + 2n + -2n Combine like terms: -4n + -2n = -6n 3 + -6n = 19 + 2n + -2n Combine like terms: 2n + -2n = 0 3 + -6n = 19 + 0 3 + -6n = 19 Add '-3' to each side of the equation. 3 + -3 + -6n = 19 + -3 Combine like terms: 3 + -3 = 0 0 + -6n = 19 + -3 -6n = 19 + -3 Combine like terms: 19 + -3 = 16 -6n = 16 Divide each side by '-6'. n = -2.666666667 Simplifying n = -2.666666667
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