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Simplifying 5(a + 2c) = -2(a + -1c) (a * 5 + 2c * 5) = -2(a + -1c) (5a + 10c) = -2(a + -1c) 5a + 10c = (a * -2 + -1c * -2) 5a + 10c = (-2a + 2c) Solving 5a + 10c = -2a + 2c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 5a + 2a + 10c = -2a + 2a + 2c Combine like terms: 5a + 2a = 7a 7a + 10c = -2a + 2a + 2c Combine like terms: -2a + 2a = 0 7a + 10c = 0 + 2c 7a + 10c = 2c Add '-10c' to each side of the equation. 7a + 10c + -10c = 2c + -10c Combine like terms: 10c + -10c = 0 7a + 0 = 2c + -10c 7a = 2c + -10c Combine like terms: 2c + -10c = -8c 7a = -8c Divide each side by '7'. a = -1.142857143c Simplifying a = -1.142857143c
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