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Simplifying -4(8a + 12) + 7(8 + 4) = 0 Reorder the terms: -4(12 + 8a) + 7(8 + 4) = 0 (12 * -4 + 8a * -4) + 7(8 + 4) = 0 (-48 + -32a) + 7(8 + 4) = 0 Combine like terms: 8 + 4 = 12 -48 + -32a + 7(12) = 0 Multiply 7 * 12 -48 + -32a + 84 = 0 Reorder the terms: -48 + 84 + -32a = 0 Combine like terms: -48 + 84 = 36 36 + -32a = 0 Solving 36 + -32a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -32a = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -32a = 0 + -36 -32a = 0 + -36 Combine like terms: 0 + -36 = -36 -32a = -36 Divide each side by '-32'. a = 1.125 Simplifying a = 1.125
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