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Simplifying 2(a + c) = 5(a + -1b) (a * 2 + c * 2) = 5(a + -1b) (2a + 2c) = 5(a + -1b) 2a + 2c = (a * 5 + -1b * 5) 2a + 2c = (5a + -5b) Solving 2a + 2c = 5a + -5b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 2a + -5a + 2c = 5a + -5a + -5b Combine like terms: 2a + -5a = -3a -3a + 2c = 5a + -5a + -5b Combine like terms: 5a + -5a = 0 -3a + 2c = 0 + -5b -3a + 2c = -5b Add '-2c' to each side of the equation. -3a + 2c + -2c = -5b + -2c Combine like terms: 2c + -2c = 0 -3a + 0 = -5b + -2c -3a = -5b + -2c Divide each side by '-3'. a = 1.666666667b + 0.6666666667c Simplifying a = 1.666666667b + 0.6666666667c
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