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Simplifying 10 + 2a = 7a + -5 Reorder the terms: 10 + 2a = -5 + 7a Solving 10 + 2a = -5 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 10 + 2a + -7a = -5 + 7a + -7a Combine like terms: 2a + -7a = -5a 10 + -5a = -5 + 7a + -7a Combine like terms: 7a + -7a = 0 10 + -5a = -5 + 0 10 + -5a = -5 Add '-10' to each side of the equation. 10 + -10 + -5a = -5 + -10 Combine like terms: 10 + -10 = 0 0 + -5a = -5 + -10 -5a = -5 + -10 Combine like terms: -5 + -10 = -15 -5a = -15 Divide each side by '-5'. a = 3 Simplifying a = 3
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