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Simplifying -4(1 + -8a) + 7a = 32 + 3a (1 * -4 + -8a * -4) + 7a = 32 + 3a (-4 + 32a) + 7a = 32 + 3a Combine like terms: 32a + 7a = 39a -4 + 39a = 32 + 3a Solving -4 + 39a = 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. -4 + 39a + -3a = 32 + 3a + -3a Combine like terms: 39a + -3a = 36a -4 + 36a = 32 + 3a + -3a Combine like terms: 3a + -3a = 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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