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Simplifying 5a + -2 = 12 + 7a Reorder the terms: -2 + 5a = 12 + 7a Solving -2 + 5a = 12 + 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. -2 + 5a + -7a = 12 + 7a + -7a Combine like terms: 5a + -7a = -2a -2 + -2a = 12 + 7a + -7a Combine like terms: 7a + -7a = 0 -2 + -2a = 12 + 0 -2 + -2a = 12 Add '2' to each side of the equation. -2 + 2 + -2a = 12 + 2 Combine like terms: -2 + 2 = 0 0 + -2a = 12 + 2 -2a = 12 + 2 Combine like terms: 12 + 2 = 14 -2a = 14 Divide each side by '-2'. a = -7 Simplifying a = -7
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