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Simplifying 6(7a + 4) + -4a = 100 Reorder the terms: 6(4 + 7a) + -4a = 100 (4 * 6 + 7a * 6) + -4a = 100 (24 + 42a) + -4a = 100 Combine like terms: 42a + -4a = 38a 24 + 38a = 100 Solving 24 + 38a = 100 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 38a = 100 + -24 Combine like terms: 24 + -24 = 0 0 + 38a = 100 + -24 38a = 100 + -24 Combine like terms: 100 + -24 = 76 38a = 76 Divide each side by '38'. a = 2 Simplifying a = 2
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