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Simplifying 2(3a + 5) = -4(a + 4) Reorder the terms: 2(5 + 3a) = -4(a + 4) (5 * 2 + 3a * 2) = -4(a + 4) (10 + 6a) = -4(a + 4) Reorder the terms: 10 + 6a = -4(4 + a) 10 + 6a = (4 * -4 + a * -4) 10 + 6a = (-16 + -4a) Solving 10 + 6a = -16 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 10 + 6a + 4a = -16 + -4a + 4a Combine like terms: 6a + 4a = 10a 10 + 10a = -16 + -4a + 4a Combine like terms: -4a + 4a = 0 10 + 10a = -16 + 0 10 + 10a = -16 Add '-10' to each side of the equation. 10 + -10 + 10a = -16 + -10 Combine like terms: 10 + -10 = 0 0 + 10a = -16 + -10 10a = -16 + -10 Combine like terms: -16 + -10 = -26 10a = -26 Divide each side by '10'. a = -2.6 Simplifying a = -2.6
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