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Simplifying 4n + 8(2n + -1) = 5n + -38 Reorder the terms: 4n + 8(-1 + 2n) = 5n + -38 4n + (-1 * 8 + 2n * 8) = 5n + -38 4n + (-8 + 16n) = 5n + -38 Reorder the terms: -8 + 4n + 16n = 5n + -38 Combine like terms: 4n + 16n = 20n -8 + 20n = 5n + -38 Reorder the terms: -8 + 20n = -38 + 5n Solving -8 + 20n = -38 + 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. -8 + 20n + -5n = -38 + 5n + -5n Combine like terms: 20n + -5n = 15n -8 + 15n = -38 + 5n + -5n Combine like terms: 5n + -5n = 0 -8 + 15n = -38 + 0 -8 + 15n = -38 Add '8' to each side of the equation. -8 + 8 + 15n = -38 + 8 Combine like terms: -8 + 8 = 0 0 + 15n = -38 + 8 15n = -38 + 8 Combine like terms: -38 + 8 = -30 15n = -30 Divide each side by '15'. n = -2 Simplifying n = -2
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