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Simplifying 8(6n + -4) = 11 + 5n Reorder the terms: 8(-4 + 6n) = 11 + 5n (-4 * 8 + 6n * 8) = 11 + 5n (-32 + 48n) = 11 + 5n Solving -32 + 48n = 11 + 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. -32 + 48n + -5n = 11 + 5n + -5n Combine like terms: 48n + -5n = 43n -32 + 43n = 11 + 5n + -5n Combine like terms: 5n + -5n = 0 -32 + 43n = 11 + 0 -32 + 43n = 11 Add '32' to each side of the equation. -32 + 32 + 43n = 11 + 32 Combine like terms: -32 + 32 = 0 0 + 43n = 11 + 32 43n = 11 + 32 Combine like terms: 11 + 32 = 43 43n = 43 Divide each side by '43'. n = 1 Simplifying n = 1
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