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Simplifying 6(3a + 1) + -30 = 3(20 + -4) Reorder the terms: 6(1 + 3a) + -30 = 3(20 + -4) (1 * 6 + 3a * 6) + -30 = 3(20 + -4) (6 + 18a) + -30 = 3(20 + -4) Reorder the terms: 6 + -30 + 18a = 3(20 + -4) Combine like terms: 6 + -30 = -24 -24 + 18a = 3(20 + -4) Combine like terms: 20 + -4 = 16 -24 + 18a = 3(16) Multiply 3 * 16 -24 + 18a = 48 Solving -24 + 18a = 48 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 18a = 48 + 24 Combine like terms: -24 + 24 = 0 0 + 18a = 48 + 24 18a = 48 + 24 Combine like terms: 48 + 24 = 72 18a = 72 Divide each side by '18'. a = 4 Simplifying a = 4
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