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Simplifying 8(4 + 3a) = 32a + 5 (4 * 8 + 3a * 8) = 32a + 5 (32 + 24a) = 32a + 5 Reorder the terms: 32 + 24a = 5 + 32a Solving 32 + 24a = 5 + 32a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-32a' to each side of the equation. 32 + 24a + -32a = 5 + 32a + -32a Combine like terms: 24a + -32a = -8a 32 + -8a = 5 + 32a + -32a Combine like terms: 32a + -32a = 0 32 + -8a = 5 + 0 32 + -8a = 5 Add '-32' to each side of the equation. 32 + -32 + -8a = 5 + -32 Combine like terms: 32 + -32 = 0 0 + -8a = 5 + -32 -8a = 5 + -32 Combine like terms: 5 + -32 = -27 -8a = -27 Divide each side by '-8'. a = 3.375 Simplifying a = 3.375
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