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Simplifying (3 * 5) + (3 * 8) = 3(a + 7) Multiply 3 * 5 (15) + (3 * 8) = 3(a + 7) 15 + (3 * 8) = 3(a + 7) Multiply 3 * 8 15 + (24) = 3(a + 7) 15 + 24 = 3(a + 7) Combine like terms: 15 + 24 = 39 39 = 3(a + 7) Reorder the terms: 39 = 3(7 + a) 39 = (7 * 3 + a * 3) 39 = (21 + 3a) Solving 39 = 21 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 39 + -3a = 21 + 3a + -3a Combine like terms: 3a + -3a = 0 39 + -3a = 21 + 0 39 + -3a = 21 Add '-39' to each side of the equation. 39 + -39 + -3a = 21 + -39 Combine like terms: 39 + -39 = 0 0 + -3a = 21 + -39 -3a = 21 + -39 Combine like terms: 21 + -39 = -18 -3a = -18 Divide each side by '-3'. a = 6 Simplifying a = 6
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