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Simplifying 5(7n + -19) = 19n + -5 Reorder the terms: 5(-19 + 7n) = 19n + -5 (-19 * 5 + 7n * 5) = 19n + -5 (-95 + 35n) = 19n + -5 Reorder the terms: -95 + 35n = -5 + 19n Solving -95 + 35n = -5 + 19n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-19n' to each side of the equation. -95 + 35n + -19n = -5 + 19n + -19n Combine like terms: 35n + -19n = 16n -95 + 16n = -5 + 19n + -19n Combine like terms: 19n + -19n = 0 -95 + 16n = -5 + 0 -95 + 16n = -5 Add '95' to each side of the equation. -95 + 95 + 16n = -5 + 95 Combine like terms: -95 + 95 = 0 0 + 16n = -5 + 95 16n = -5 + 95 Combine like terms: -5 + 95 = 90 16n = 90 Divide each side by '16'. n = 5.625 Simplifying n = 5.625
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