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Simplifying 3(a + 5) = 5a + 11 Reorder the terms: 3(5 + a) = 5a + 11 (5 * 3 + a * 3) = 5a + 11 (15 + 3a) = 5a + 11 Reorder the terms: 15 + 3a = 11 + 5a Solving 15 + 3a = 11 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 15 + 3a + -5a = 11 + 5a + -5a Combine like terms: 3a + -5a = -2a 15 + -2a = 11 + 5a + -5a Combine like terms: 5a + -5a = 0 15 + -2a = 11 + 0 15 + -2a = 11 Add '-15' to each side of the equation. 15 + -15 + -2a = 11 + -15 Combine like terms: 15 + -15 = 0 0 + -2a = 11 + -15 -2a = 11 + -15 Combine like terms: 11 + -15 = -4 -2a = -4 Divide each side by '-2'. a = 2 Simplifying a = 2
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