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Simplifying 15 + 19a = 4a + 45 Reorder the terms: 15 + 19a = 45 + 4a Solving 15 + 19a = 45 + 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. 15 + 19a + -4a = 45 + 4a + -4a Combine like terms: 19a + -4a = 15a 15 + 15a = 45 + 4a + -4a Combine like terms: 4a + -4a = 0 15 + 15a = 45 + 0 15 + 15a = 45 Add '-15' to each side of the equation. 15 + -15 + 15a = 45 + -15 Combine like terms: 15 + -15 = 0 0 + 15a = 45 + -15 15a = 45 + -15 Combine like terms: 45 + -15 = 30 15a = 30 Divide each side by '15'. a = 2 Simplifying a = 2
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