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Simplifying 7b + -1(2c + -5) + -1a = 0 Reorder the terms: 7b + -1(-5 + 2c) + -1a = 0 7b + (-5 * -1 + 2c * -1) + -1a = 0 7b + (5 + -2c) + -1a = 0 Reorder the terms: 5 + -1a + 7b + -2c = 0 Solving 5 + -1a + 7b + -2c = 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 + 7b + -5 + -2c = 0 + -5 Reorder the terms: 5 + -5 + -1a + 7b + -2c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1a + 7b + -2c = 0 + -5 -1a + 7b + -2c = 0 + -5 Combine like terms: 0 + -5 = -5 -1a + 7b + -2c = -5 Add '-7b' to each side of the equation. -1a + 7b + -7b + -2c = -5 + -7b Combine like terms: 7b + -7b = 0 -1a + 0 + -2c = -5 + -7b -1a + -2c = -5 + -7b Add '2c' to each side of the equation. -1a + -2c + 2c = -5 + -7b + 2c Combine like terms: -2c + 2c = 0 -1a + 0 = -5 + -7b + 2c -1a = -5 + -7b + 2c Divide each side by '-1'. a = 5 + 7b + -2c Simplifying a = 5 + 7b + -2c
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