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Simplifying 8 + -6(1 + 7a) = 32 + 4a 8 + (1 * -6 + 7a * -6) = 32 + 4a 8 + (-6 + -42a) = 32 + 4a Combine like terms: 8 + -6 = 2 2 + -42a = 32 + 4a Solving 2 + -42a = 32 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 2 + -42a + -4a = 32 + 4a + -4a Combine like terms: -42a + -4a = -46a 2 + -46a = 32 + 4a + -4a Combine like terms: 4a + -4a = 0 2 + -46a = 32 + 0 2 + -46a = 32 Add '-2' to each side of the equation. 2 + -2 + -46a = 32 + -2 Combine like terms: 2 + -2 = 0 0 + -46a = 32 + -2 -46a = 32 + -2 Combine like terms: 32 + -2 = 30 -46a = 30 Divide each side by '-46'. a = -0.652173913 Simplifying a = -0.652173913
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