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Simplifying 4a + -5a + -7a + 2c = 0 Combine like terms: 4a + -5a = -1a -1a + -7a + 2c = 0 Combine like terms: -1a + -7a = -8a -8a + 2c = 0 Solving -8a + 2c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2c' to each side of the equation. -8a + 2c + -2c = 0 + -2c Combine like terms: 2c + -2c = 0 -8a + 0 = 0 + -2c -8a = 0 + -2c Remove the zero: -8a = -2c Divide each side by '-8'. a = 0.25c Simplifying a = 0.25c
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