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Simplifying 2(3a + 5) = -4(a + 3) Reorder the terms: 2(5 + 3a) = -4(a + 3) (5 * 2 + 3a * 2) = -4(a + 3) (10 + 6a) = -4(a + 3) Reorder the terms: 10 + 6a = -4(3 + a) 10 + 6a = (3 * -4 + a * -4) 10 + 6a = (-12 + -4a) Solving 10 + 6a = -12 + -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 = -12 + -4a + 4a Combine like terms: 6a + 4a = 10a 10 + 10a = -12 + -4a + 4a Combine like terms: -4a + 4a = 0 10 + 10a = -12 + 0 10 + 10a = -12 Add '-10' to each side of the equation. 10 + -10 + 10a = -12 + -10 Combine like terms: 10 + -10 = 0 0 + 10a = -12 + -10 10a = -12 + -10 Combine like terms: -12 + -10 = -22 10a = -22 Divide each side by '10'. a = -2.2 Simplifying a = -2.2
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