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Simplifying 49 + 10n = 6 + -2(1 + -8n) 49 + 10n = 6 + (1 * -2 + -8n * -2) 49 + 10n = 6 + (-2 + 16n) Combine like terms: 6 + -2 = 4 49 + 10n = 4 + 16n Solving 49 + 10n = 4 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. 49 + 10n + -16n = 4 + 16n + -16n Combine like terms: 10n + -16n = -6n 49 + -6n = 4 + 16n + -16n Combine like terms: 16n + -16n = 0 49 + -6n = 4 + 0 49 + -6n = 4 Add '-49' to each side of the equation. 49 + -49 + -6n = 4 + -49 Combine like terms: 49 + -49 = 0 0 + -6n = 4 + -49 -6n = 4 + -49 Combine like terms: 4 + -49 = -45 -6n = -45 Divide each side by '-6'. n = 7.5 Simplifying n = 7.5
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