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