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Simplifying 19n + 6 = 3n + -24 Reorder the terms: 6 + 19n = 3n + -24 Reorder the terms: 6 + 19n = -24 + 3n Solving 6 + 19n = -24 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 6 + 19n + -3n = -24 + 3n + -3n Combine like terms: 19n + -3n = 16n 6 + 16n = -24 + 3n + -3n Combine like terms: 3n + -3n = 0 6 + 16n = -24 + 0 6 + 16n = -24 Add '-6' to each side of the equation. 6 + -6 + 16n = -24 + -6 Combine like terms: 6 + -6 = 0 0 + 16n = -24 + -6 16n = -24 + -6 Combine like terms: -24 + -6 = -30 16n = -30 Divide each side by '16'. n = -1.875 Simplifying n = -1.875
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