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Simplifying 28 + 19a = 42 + 12a Solving 28 + 19a = 42 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 28 + 19a + -12a = 42 + 12a + -12a Combine like terms: 19a + -12a = 7a 28 + 7a = 42 + 12a + -12a Combine like terms: 12a + -12a = 0 28 + 7a = 42 + 0 28 + 7a = 42 Add '-28' to each side of the equation. 28 + -28 + 7a = 42 + -28 Combine like terms: 28 + -28 = 0 0 + 7a = 42 + -28 7a = 42 + -28 Combine like terms: 42 + -28 = 14 7a = 14 Divide each side by '7'. a = 2 Simplifying a = 2
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