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Simplifying -8(5n + -2) = 16 + 6n Reorder the terms: -8(-2 + 5n) = 16 + 6n (-2 * -8 + 5n * -8) = 16 + 6n (16 + -40n) = 16 + 6n Add '-16' to each side of the equation. 16 + -16 + -40n = 16 + -16 + 6n Combine like terms: 16 + -16 = 0 0 + -40n = 16 + -16 + 6n -40n = 16 + -16 + 6n Combine like terms: 16 + -16 = 0 -40n = 0 + 6n -40n = 6n Solving -40n = 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -40n + -6n = 6n + -6n Combine like terms: -40n + -6n = -46n -46n = 6n + -6n Combine like terms: 6n + -6n = 0 -46n = 0 Divide each side by '-46'. n = 0 Simplifying n = 0
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