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Simplifying 8(3 + -4a) = 6(a + 4) (3 * 8 + -4a * 8) = 6(a + 4) (24 + -32a) = 6(a + 4) Reorder the terms: 24 + -32a = 6(4 + a) 24 + -32a = (4 * 6 + a * 6) 24 + -32a = (24 + 6a) Add '-24' to each side of the equation. 24 + -24 + -32a = 24 + -24 + 6a Combine like terms: 24 + -24 = 0 0 + -32a = 24 + -24 + 6a -32a = 24 + -24 + 6a Combine like terms: 24 + -24 = 0 -32a = 0 + 6a -32a = 6a Solving -32a = 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -32a + -6a = 6a + -6a Combine like terms: -32a + -6a = -38a -38a = 6a + -6a Combine like terms: 6a + -6a = 0 -38a = 0 Divide each side by '-38'. a = 0 Simplifying a = 0
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