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Simplifying -5a + 10 + 3a = 7a + -4a Reorder the terms: 10 + -5a + 3a = 7a + -4a Combine like terms: -5a + 3a = -2a 10 + -2a = 7a + -4a Combine like terms: 7a + -4a = 3a 10 + -2a = 3a Solving 10 + -2a = 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. 10 + -2a + -3a = 3a + -3a Combine like terms: -2a + -3a = -5a 10 + -5a = 3a + -3a Combine like terms: 3a + -3a = 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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