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Simplifying 8a + 30 = 6(a + 3) Reorder the terms: 30 + 8a = 6(a + 3) Reorder the terms: 30 + 8a = 6(3 + a) 30 + 8a = (3 * 6 + a * 6) 30 + 8a = (18 + 6a) Solving 30 + 8a = 18 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 30 + 8a + -6a = 18 + 6a + -6a Combine like terms: 8a + -6a = 2a 30 + 2a = 18 + 6a + -6a Combine like terms: 6a + -6a = 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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