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Simplifying 5(a + -1b) = 3(a + c) (a * 5 + -1b * 5) = 3(a + c) (5a + -5b) = 3(a + c) 5a + -5b = (a * 3 + c * 3) 5a + -5b = (3a + 3c) Solving 5a + -5b = 3a + 3c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 5a + -3a + -5b = 3a + -3a + 3c Combine like terms: 5a + -3a = 2a 2a + -5b = 3a + -3a + 3c Combine like terms: 3a + -3a = 0 2a + -5b = 0 + 3c 2a + -5b = 3c Add '5b' to each side of the equation. 2a + -5b + 5b = 5b + 3c Combine like terms: -5b + 5b = 0 2a + 0 = 5b + 3c 2a = 5b + 3c Divide each side by '2'. a = 2.5b + 1.5c Simplifying a = 2.5b + 1.5c
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