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Simplifying -4(-3a + 6) + 8(8a + 7) = -44 Reorder the terms: -4(6 + -3a) + 8(8a + 7) = -44 (6 * -4 + -3a * -4) + 8(8a + 7) = -44 (-24 + 12a) + 8(8a + 7) = -44 Reorder the terms: -24 + 12a + 8(7 + 8a) = -44 -24 + 12a + (7 * 8 + 8a * 8) = -44 -24 + 12a + (56 + 64a) = -44 Reorder the terms: -24 + 56 + 12a + 64a = -44 Combine like terms: -24 + 56 = 32 32 + 12a + 64a = -44 Combine like terms: 12a + 64a = 76a 32 + 76a = -44 Solving 32 + 76a = -44 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 76a = -44 + -32 Combine like terms: 32 + -32 = 0 0 + 76a = -44 + -32 76a = -44 + -32 Combine like terms: -44 + -32 = -76 76a = -76 Divide each side by '76'. a = -1 Simplifying a = -1
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