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Simplifying -4(2a + -4c + 6) + 3a + 10 = 0 Reorder the terms: -4(6 + 2a + -4c) + 3a + 10 = 0 (6 * -4 + 2a * -4 + -4c * -4) + 3a + 10 = 0 (-24 + -8a + 16c) + 3a + 10 = 0 Reorder the terms: -24 + 10 + -8a + 3a + 16c = 0 Combine like terms: -24 + 10 = -14 -14 + -8a + 3a + 16c = 0 Combine like terms: -8a + 3a = -5a -14 + -5a + 16c = 0 Solving -14 + -5a + 16c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14' to each side of the equation. -14 + -5a + 14 + 16c = 0 + 14 Reorder the terms: -14 + 14 + -5a + 16c = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -5a + 16c = 0 + 14 -5a + 16c = 0 + 14 Combine like terms: 0 + 14 = 14 -5a + 16c = 14 Add '-16c' to each side of the equation. -5a + 16c + -16c = 14 + -16c Combine like terms: 16c + -16c = 0 -5a + 0 = 14 + -16c -5a = 14 + -16c Divide each side by '-5'. a = -2.8 + 3.2c Simplifying a = -2.8 + 3.2c
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