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Simplifying 122 = 2 + -8(6 + 7a) 122 = 2 + (6 * -8 + 7a * -8) 122 = 2 + (-48 + -56a) Combine like terms: 2 + -48 = -46 122 = -46 + -56a Solving 122 = -46 + -56a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '56a' to each side of the equation. 122 + 56a = -46 + -56a + 56a Combine like terms: -56a + 56a = 0 122 + 56a = -46 + 0 122 + 56a = -46 Add '-122' to each side of the equation. 122 + -122 + 56a = -46 + -122 Combine like terms: 122 + -122 = 0 0 + 56a = -46 + -122 56a = -46 + -122 Combine like terms: -46 + -122 = -168 56a = -168 Divide each side by '56'. a = -3 Simplifying a = -3
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