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Simplifying 6(1 + -8a) = -40 + -2a (1 * 6 + -8a * 6) = -40 + -2a (6 + -48a) = -40 + -2a Solving 6 + -48a = -40 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 6 + -48a + 2a = -40 + -2a + 2a Combine like terms: -48a + 2a = -46a 6 + -46a = -40 + -2a + 2a Combine like terms: -2a + 2a = 0 6 + -46a = -40 + 0 6 + -46a = -40 Add '-6' to each side of the equation. 6 + -6 + -46a = -40 + -6 Combine like terms: 6 + -6 = 0 0 + -46a = -40 + -6 -46a = -40 + -6 Combine like terms: -40 + -6 = -46 -46a = -46 Divide each side by '-46'. a = 1 Simplifying a = 1
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