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Simplifying 5(a + 3) + -4(3 + -2a) = 0 Reorder the terms: 5(3 + a) + -4(3 + -2a) = 0 (3 * 5 + a * 5) + -4(3 + -2a) = 0 (15 + 5a) + -4(3 + -2a) = 0 15 + 5a + (3 * -4 + -2a * -4) = 0 15 + 5a + (-12 + 8a) = 0 Reorder the terms: 15 + -12 + 5a + 8a = 0 Combine like terms: 15 + -12 = 3 3 + 5a + 8a = 0 Combine like terms: 5a + 8a = 13a 3 + 13a = 0 Solving 3 + 13a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 13a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 13a = 0 + -3 13a = 0 + -3 Combine like terms: 0 + -3 = -3 13a = -3 Divide each side by '13'. a = -0.2307692308 Simplifying a = -0.2307692308
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