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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 = -14 -14 + -42a = 32 + 4a Solving -14 + -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. -14 + -42a + -4a = 32 + 4a + -4a Combine like terms: -42a + -4a = -46a -14 + -46a = 32 + 4a + -4a Combine like terms: 4a + -4a = 0 -14 + -46a = 32 + 0 -14 + -46a = 32 Add '14' to each side of the equation. -14 + 14 + -46a = 32 + 14 Combine like terms: -14 + 14 = 0 0 + -46a = 32 + 14 -46a = 32 + 14 Combine like terms: 32 + 14 = 46 -46a = 46 Divide each side by '-46'. a = -1 Simplifying a = -1
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