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Simplifying (-4a + c + 3) + (-3a + 5c) = 0 Reorder the terms: (3 + -4a + c) + (-3a + 5c) = 0 Remove parenthesis around (3 + -4a + c) 3 + -4a + c + (-3a + 5c) = 0 Remove parenthesis around (-3a + 5c) 3 + -4a + c + -3a + 5c = 0 Reorder the terms: 3 + -4a + -3a + c + 5c = 0 Combine like terms: -4a + -3a = -7a 3 + -7a + c + 5c = 0 Combine like terms: c + 5c = 6c 3 + -7a + 6c = 0 Solving 3 + -7a + 6c = 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 + -7a + -3 + 6c = 0 + -3 Reorder the terms: 3 + -3 + -7a + 6c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7a + 6c = 0 + -3 -7a + 6c = 0 + -3 Combine like terms: 0 + -3 = -3 -7a + 6c = -3 Add '-6c' to each side of the equation. -7a + 6c + -6c = -3 + -6c Combine like terms: 6c + -6c = 0 -7a + 0 = -3 + -6c -7a = -3 + -6c Divide each side by '-7'. a = 0.4285714286 + 0.8571428571c Simplifying a = 0.4285714286 + 0.8571428571c
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