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Simplifying -6a + 4(1 + -8a) = -32 + -2a -6a + (1 * 4 + -8a * 4) = -32 + -2a -6a + (4 + -32a) = -32 + -2a Reorder the terms: 4 + -6a + -32a = -32 + -2a Combine like terms: -6a + -32a = -38a 4 + -38a = -32 + -2a Solving 4 + -38a = -32 + -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. 4 + -38a + 2a = -32 + -2a + 2a Combine like terms: -38a + 2a = -36a 4 + -36a = -32 + -2a + 2a Combine like terms: -2a + 2a = 0 4 + -36a = -32 + 0 4 + -36a = -32 Add '-4' to each side of the equation. 4 + -4 + -36a = -32 + -4 Combine like terms: 4 + -4 = 0 0 + -36a = -32 + -4 -36a = -32 + -4 Combine like terms: -32 + -4 = -36 -36a = -36 Divide each side by '-36'. a = 1 Simplifying a = 1
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