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Simplifying 5a + -2c + 7 + -1(6a + -3c + 2) = 0 Reorder the terms: 5a + -2c + 7 + -1(2 + 6a + -3c) = 0 5a + -2c + 7 + (2 * -1 + 6a * -1 + -3c * -1) = 0 5a + -2c + 7 + (-2 + -6a + 3c) = 0 Reorder the terms: 7 + -2 + 5a + -6a + -2c + 3c = 0 Combine like terms: 7 + -2 = 5 5 + 5a + -6a + -2c + 3c = 0 Combine like terms: 5a + -6a = -1a 5 + -1a + -2c + 3c = 0 Combine like terms: -2c + 3c = 1c 5 + -1a + 1c = 0 Solving 5 + -1a + 1c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -1a + -5 + 1c = 0 + -5 Reorder the terms: 5 + -5 + -1a + 1c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1a + 1c = 0 + -5 -1a + 1c = 0 + -5 Combine like terms: 0 + -5 = -5 -1a + 1c = -5 Add '-1c' to each side of the equation. -1a + 1c + -1c = -5 + -1c Combine like terms: 1c + -1c = 0 -1a + 0 = -5 + -1c -1a = -5 + -1c Divide each side by '-1'. a = 5 + c Simplifying a = 5 + c
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