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Simplifying 2(3a + 5) = 2a + 54 Reorder the terms: 2(5 + 3a) = 2a + 54 (5 * 2 + 3a * 2) = 2a + 54 (10 + 6a) = 2a + 54 Reorder the terms: 10 + 6a = 54 + 2a Solving 10 + 6a = 54 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 10 + 6a + -2a = 54 + 2a + -2a Combine like terms: 6a + -2a = 4a 10 + 4a = 54 + 2a + -2a Combine like terms: 2a + -2a = 0 10 + 4a = 54 + 0 10 + 4a = 54 Add '-10' to each side of the equation. 10 + -10 + 4a = 54 + -10 Combine like terms: 10 + -10 = 0 0 + 4a = 54 + -10 4a = 54 + -10 Combine like terms: 54 + -10 = 44 4a = 44 Divide each side by '4'. a = 11 Simplifying a = 11
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