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Simplifying 5(6a + -2) + 12a = 0 Reorder the terms: 5(-2 + 6a) + 12a = 0 (-2 * 5 + 6a * 5) + 12a = 0 (-10 + 30a) + 12a = 0 Combine like terms: 30a + 12a = 42a -10 + 42a = 0 Solving -10 + 42a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 42a = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 42a = 0 + 10 42a = 0 + 10 Combine like terms: 0 + 10 = 10 42a = 10 Divide each side by '42'. a = 0.2380952381 Simplifying a = 0.2380952381
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