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Simplifying 8(3n + -2) = (5n + 3) + 5 Reorder the terms: 8(-2 + 3n) = (5n + 3) + 5 (-2 * 8 + 3n * 8) = (5n + 3) + 5 (-16 + 24n) = (5n + 3) + 5 Reorder the terms: -16 + 24n = (3 + 5n) + 5 Remove parenthesis around (3 + 5n) -16 + 24n = 3 + 5n + 5 Reorder the terms: -16 + 24n = 3 + 5 + 5n Combine like terms: 3 + 5 = 8 -16 + 24n = 8 + 5n Solving -16 + 24n = 8 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -16 + 24n + -5n = 8 + 5n + -5n Combine like terms: 24n + -5n = 19n -16 + 19n = 8 + 5n + -5n Combine like terms: 5n + -5n = 0 -16 + 19n = 8 + 0 -16 + 19n = 8 Add '16' to each side of the equation. -16 + 16 + 19n = 8 + 16 Combine like terms: -16 + 16 = 0 0 + 19n = 8 + 16 19n = 8 + 16 Combine like terms: 8 + 16 = 24 19n = 24 Divide each side by '19'. n = 1.263157895 Simplifying n = 1.263157895
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