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Simplifying 2a + -12 = 15 + -7a Reorder the terms: -12 + 2a = 15 + -7a Solving -12 + 2a = 15 + -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. -12 + 2a + 7a = 15 + -7a + 7a Combine like terms: 2a + 7a = 9a -12 + 9a = 15 + -7a + 7a Combine like terms: -7a + 7a = 0 -12 + 9a = 15 + 0 -12 + 9a = 15 Add '12' to each side of the equation. -12 + 12 + 9a = 15 + 12 Combine like terms: -12 + 12 = 0 0 + 9a = 15 + 12 9a = 15 + 12 Combine like terms: 15 + 12 = 27 9a = 27 Divide each side by '9'. a = 3 Simplifying a = 3
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