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Simplifying 5a + 7(6 + -4a) = 0 5a + (6 * 7 + -4a * 7) = 0 5a + (42 + -28a) = 0 Reorder the terms: 42 + 5a + -28a = 0 Combine like terms: 5a + -28a = -23a 42 + -23a = 0 Solving 42 + -23a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -23a = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -23a = 0 + -42 -23a = 0 + -42 Combine like terms: 0 + -42 = -42 -23a = -42 Divide each side by '-23'. a = 1.826086957 Simplifying a = 1.826086957
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