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Simplifying 8(3n + -4) = (2n + 4) + 6 Reorder the terms: 8(-4 + 3n) = (2n + 4) + 6 (-4 * 8 + 3n * 8) = (2n + 4) + 6 (-32 + 24n) = (2n + 4) + 6 Reorder the terms: -32 + 24n = (4 + 2n) + 6 Remove parenthesis around (4 + 2n) -32 + 24n = 4 + 2n + 6 Reorder the terms: -32 + 24n = 4 + 6 + 2n Combine like terms: 4 + 6 = 10 -32 + 24n = 10 + 2n Solving -32 + 24n = 10 + 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. -32 + 24n + -2n = 10 + 2n + -2n Combine like terms: 24n + -2n = 22n -32 + 22n = 10 + 2n + -2n Combine like terms: 2n + -2n = 0 -32 + 22n = 10 + 0 -32 + 22n = 10 Add '32' to each side of the equation. -32 + 32 + 22n = 10 + 32 Combine like terms: -32 + 32 = 0 0 + 22n = 10 + 32 22n = 10 + 32 Combine like terms: 10 + 32 = 42 22n = 42 Divide each side by '22'. n = 1.909090909 Simplifying n = 1.909090909
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