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Simplifying -8(1 + -2n) + -6n = -1(-6n + -5) + -1 (1 * -8 + -2n * -8) + -6n = -1(-6n + -5) + -1 (-8 + 16n) + -6n = -1(-6n + -5) + -1 Combine like terms: 16n + -6n = 10n -8 + 10n = -1(-6n + -5) + -1 Reorder the terms: -8 + 10n = -1(-5 + -6n) + -1 -8 + 10n = (-5 * -1 + -6n * -1) + -1 -8 + 10n = (5 + 6n) + -1 Reorder the terms: -8 + 10n = 5 + -1 + 6n Combine like terms: 5 + -1 = 4 -8 + 10n = 4 + 6n Solving -8 + 10n = 4 + 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. -8 + 10n + -6n = 4 + 6n + -6n Combine like terms: 10n + -6n = 4n -8 + 4n = 4 + 6n + -6n Combine like terms: 6n + -6n = 0 -8 + 4n = 4 + 0 -8 + 4n = 4 Add '8' to each side of the equation. -8 + 8 + 4n = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 4n = 4 + 8 4n = 4 + 8 Combine like terms: 4 + 8 = 12 4n = 12 Divide each side by '4'. n = 3 Simplifying n = 3
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