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Simplifying 12a + -7 + -5a = 14 + 4a Reorder the terms: -7 + 12a + -5a = 14 + 4a Combine like terms: 12a + -5a = 7a -7 + 7a = 14 + 4a Solving -7 + 7a = 14 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -7 + 7a + -4a = 14 + 4a + -4a Combine like terms: 7a + -4a = 3a -7 + 3a = 14 + 4a + -4a Combine like terms: 4a + -4a = 0 -7 + 3a = 14 + 0 -7 + 3a = 14 Add '7' to each side of the equation. -7 + 7 + 3a = 14 + 7 Combine like terms: -7 + 7 = 0 0 + 3a = 14 + 7 3a = 14 + 7 Combine like terms: 14 + 7 = 21 3a = 21 Divide each side by '3'. a = 7 Simplifying a = 7
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