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Simplifying 3(a + 5) + 5(a + 3) = 62 Reorder the terms: 3(5 + a) + 5(a + 3) = 62 (5 * 3 + a * 3) + 5(a + 3) = 62 (15 + 3a) + 5(a + 3) = 62 Reorder the terms: 15 + 3a + 5(3 + a) = 62 15 + 3a + (3 * 5 + a * 5) = 62 15 + 3a + (15 + 5a) = 62 Reorder the terms: 15 + 15 + 3a + 5a = 62 Combine like terms: 15 + 15 = 30 30 + 3a + 5a = 62 Combine like terms: 3a + 5a = 8a 30 + 8a = 62 Solving 30 + 8a = 62 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 8a = 62 + -30 Combine like terms: 30 + -30 = 0 0 + 8a = 62 + -30 8a = 62 + -30 Combine like terms: 62 + -30 = 32 8a = 32 Divide each side by '8'. a = 4 Simplifying a = 4
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