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Simplifying 2a + -5a + 7 = 3a + -5 Reorder the terms: 7 + 2a + -5a = 3a + -5 Combine like terms: 2a + -5a = -3a 7 + -3a = 3a + -5 Reorder the terms: 7 + -3a = -5 + 3a Solving 7 + -3a = -5 + 3a 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. 7 + -3a + -3a = -5 + 3a + -3a Combine like terms: -3a + -3a = -6a 7 + -6a = -5 + 3a + -3a Combine like terms: 3a + -3a = 0 7 + -6a = -5 + 0 7 + -6a = -5 Add '-7' to each side of the equation. 7 + -7 + -6a = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -6a = -5 + -7 -6a = -5 + -7 Combine like terms: -5 + -7 = -12 -6a = -12 Divide each side by '-6'. a = 2 Simplifying a = 2
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