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Simplifying -7a + 3(a + -1c) + 5c = 0 -7a + (a * 3 + -1c * 3) + 5c = 0 -7a + (3a + -3c) + 5c = 0 Combine like terms: -7a + 3a = -4a -4a + -3c + 5c = 0 Combine like terms: -3c + 5c = 2c -4a + 2c = 0 Solving -4a + 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. -4a + 2c + -2c = 0 + -2c Combine like terms: 2c + -2c = 0 -4a + 0 = 0 + -2c -4a = 0 + -2c Remove the zero: -4a = -2c Divide each side by '-4'. a = 0.5c Simplifying a = 0.5c
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