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Simplifying -5a + 7b = c + -2a Reorder the terms: -5a + 7b = -2a + c Solving -5a + 7b = -2a + c 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 + 7b = -2a + 2a + c Combine like terms: -5a + 2a = -3a -3a + 7b = -2a + 2a + c Combine like terms: -2a + 2a = 0 -3a + 7b = 0 + c -3a + 7b = c Add '-7b' to each side of the equation. -3a + 7b + -7b = -7b + c Combine like terms: 7b + -7b = 0 -3a + 0 = -7b + c -3a = -7b + c Divide each side by '-3'. a = 2.333333333b + -0.3333333333c Simplifying a = 2.333333333b + -0.3333333333c
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