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Simplifying 6(2x + a) = 12x + 30 Reorder the terms: 6(a + 2x) = 12x + 30 (a * 6 + 2x * 6) = 12x + 30 (6a + 12x) = 12x + 30 Reorder the terms: 6a + 12x = 30 + 12x Add '-12x' to each side of the equation. 6a + 12x + -12x = 30 + 12x + -12x Combine like terms: 12x + -12x = 0 6a + 0 = 30 + 12x + -12x 6a = 30 + 12x + -12x Combine like terms: 12x + -12x = 0 6a = 30 + 0 6a = 30 Solving 6a = 30 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Divide each side by '6'. a = 5 Simplifying a = 5
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