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Simplifying 5A + 9B + 3a + -2B + 4 = 0 Reorder the terms: 4 + 5A + 9B + -2B + 3a = 0 Combine like terms: 9B + -2B = 7B 4 + 5A + 7B + 3a = 0 Solving 4 + 5A + 7B + 3a = 0 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 5A + 7B + -4 + 3a = 0 + -4 Reorder the terms: 4 + -4 + 5A + 7B + 3a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5A + 7B + 3a = 0 + -4 5A + 7B + 3a = 0 + -4 Combine like terms: 0 + -4 = -4 5A + 7B + 3a = -4 Add '-7B' to each side of the equation. 5A + 7B + -7B + 3a = -4 + -7B Combine like terms: 7B + -7B = 0 5A + 0 + 3a = -4 + -7B 5A + 3a = -4 + -7B Add '-3a' to each side of the equation. 5A + 3a + -3a = -4 + -7B + -3a Combine like terms: 3a + -3a = 0 5A + 0 = -4 + -7B + -3a 5A = -4 + -7B + -3a Divide each side by '5'. A = -0.8 + -1.4B + -0.6a Simplifying A = -0.8 + -1.4B + -0.6a
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