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Simplifying 5a + 3(a + 4) = 52 Reorder the terms: 5a + 3(4 + a) = 52 5a + (4 * 3 + a * 3) = 52 5a + (12 + 3a) = 52 Reorder the terms: 12 + 5a + 3a = 52 Combine like terms: 5a + 3a = 8a 12 + 8a = 52 Solving 12 + 8a = 52 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 8a = 52 + -12 Combine like terms: 12 + -12 = 0 0 + 8a = 52 + -12 8a = 52 + -12 Combine like terms: 52 + -12 = 40 8a = 40 Divide each side by '8'. a = 5 Simplifying a = 5
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