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Simplifying -4a + 10 + 7a = 3a + -5a Reorder the terms: 10 + -4a + 7a = 3a + -5a Combine like terms: -4a + 7a = 3a 10 + 3a = 3a + -5a Combine like terms: 3a + -5a = -2a 10 + 3a = -2a Solving 10 + 3a = -2a 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. 10 + 3a + 2a = -2a + 2a Combine like terms: 3a + 2a = 5a 10 + 5a = -2a + 2a Combine like terms: -2a + 2a = 0 10 + 5a = 0 Add '-10' to each side of the equation. 10 + -10 + 5a = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 5a = 0 + -10 5a = 0 + -10 Combine like terms: 0 + -10 = -10 5a = -10 Divide each side by '5'. a = -2 Simplifying a = -2
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