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Simplifying -4 + 2(a + -4) + 3(5 + -3a) = 0 Reorder the terms: -4 + 2(-4 + a) + 3(5 + -3a) = 0 -4 + (-4 * 2 + a * 2) + 3(5 + -3a) = 0 -4 + (-8 + 2a) + 3(5 + -3a) = 0 -4 + -8 + 2a + (5 * 3 + -3a * 3) = 0 -4 + -8 + 2a + (15 + -9a) = 0 Reorder the terms: -4 + -8 + 15 + 2a + -9a = 0 Combine like terms: -4 + -8 = -12 -12 + 15 + 2a + -9a = 0 Combine like terms: -12 + 15 = 3 3 + 2a + -9a = 0 Combine like terms: 2a + -9a = -7a 3 + -7a = 0 Solving 3 + -7a = 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 + -7a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7a = 0 + -3 -7a = 0 + -3 Combine like terms: 0 + -3 = -3 -7a = -3 Divide each side by '-7'. a = 0.4285714286 Simplifying a = 0.4285714286
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