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Simplifying 122 = 2 + -5(-8 + -2n) 122 = 2 + (-8 * -5 + -2n * -5) 122 = 2 + (40 + 10n) Combine like terms: 2 + 40 = 42 122 = 42 + 10n Solving 122 = 42 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. 122 + -10n = 42 + 10n + -10n Combine like terms: 10n + -10n = 0 122 + -10n = 42 + 0 122 + -10n = 42 Add '-122' to each side of the equation. 122 + -122 + -10n = 42 + -122 Combine like terms: 122 + -122 = 0 0 + -10n = 42 + -122 -10n = 42 + -122 Combine like terms: 42 + -122 = -80 -10n = -80 Divide each side by '-10'. n = 8 Simplifying n = 8
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