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Simplifying 3(5a + -2) + 5(2a + 4) = 4 Reorder the terms: 3(-2 + 5a) + 5(2a + 4) = 4 (-2 * 3 + 5a * 3) + 5(2a + 4) = 4 (-6 + 15a) + 5(2a + 4) = 4 Reorder the terms: -6 + 15a + 5(4 + 2a) = 4 -6 + 15a + (4 * 5 + 2a * 5) = 4 -6 + 15a + (20 + 10a) = 4 Reorder the terms: -6 + 20 + 15a + 10a = 4 Combine like terms: -6 + 20 = 14 14 + 15a + 10a = 4 Combine like terms: 15a + 10a = 25a 14 + 25a = 4 Solving 14 + 25a = 4 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 25a = 4 + -14 Combine like terms: 14 + -14 = 0 0 + 25a = 4 + -14 25a = 4 + -14 Combine like terms: 4 + -14 = -10 25a = -10 Divide each side by '25'. a = -0.4 Simplifying a = -0.4
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