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Simplifying -6(2a + -6) + -8a = -32 + -3a Reorder the terms: -6(-6 + 2a) + -8a = -32 + -3a (-6 * -6 + 2a * -6) + -8a = -32 + -3a (36 + -12a) + -8a = -32 + -3a Combine like terms: -12a + -8a = -20a 36 + -20a = -32 + -3a Solving 36 + -20a = -32 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 36 + -20a + 3a = -32 + -3a + 3a Combine like terms: -20a + 3a = -17a 36 + -17a = -32 + -3a + 3a Combine like terms: -3a + 3a = 0 36 + -17a = -32 + 0 36 + -17a = -32 Add '-36' to each side of the equation. 36 + -36 + -17a = -32 + -36 Combine like terms: 36 + -36 = 0 0 + -17a = -32 + -36 -17a = -32 + -36 Combine like terms: -32 + -36 = -68 -17a = -68 Divide each side by '-17'. a = 4 Simplifying a = 4
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