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Simplifying 5a + -2 + 12 = 7a + 2 Reorder the terms: -2 + 12 + 5a = 7a + 2 Combine like terms: -2 + 12 = 10 10 + 5a = 7a + 2 Reorder the terms: 10 + 5a = 2 + 7a Solving 10 + 5a = 2 + 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 + 5a + -7a = 2 + 7a + -7a Combine like terms: 5a + -7a = -2a 10 + -2a = 2 + 7a + -7a Combine like terms: 7a + -7a = 0 10 + -2a = 2 + 0 10 + -2a = 2 Add '-10' to each side of the equation. 10 + -10 + -2a = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -2a = 2 + -10 -2a = 2 + -10 Combine like terms: 2 + -10 = -8 -2a = -8 Divide each side by '-2'. a = 4 Simplifying a = 4
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