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Simplifying 30 + 5a = 3(6 + a) 30 + 5a = (6 * 3 + a * 3) 30 + 5a = (18 + 3a) Solving 30 + 5a = 18 + 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. 30 + 5a + -3a = 18 + 3a + -3a Combine like terms: 5a + -3a = 2a 30 + 2a = 18 + 3a + -3a Combine like terms: 3a + -3a = 0 30 + 2a = 18 + 0 30 + 2a = 18 Add '-30' to each side of the equation. 30 + -30 + 2a = 18 + -30 Combine like terms: 30 + -30 = 0 0 + 2a = 18 + -30 2a = 18 + -30 Combine like terms: 18 + -30 = -12 2a = -12 Divide each side by '2'. a = -6 Simplifying a = -6
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