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Simplifying 6(3a + -5) = 3(4 + 2a) Reorder the terms: 6(-5 + 3a) = 3(4 + 2a) (-5 * 6 + 3a * 6) = 3(4 + 2a) (-30 + 18a) = 3(4 + 2a) -30 + 18a = (4 * 3 + 2a * 3) -30 + 18a = (12 + 6a) Solving -30 + 18a = 12 + 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 + 18a + -6a = 12 + 6a + -6a Combine like terms: 18a + -6a = 12a -30 + 12a = 12 + 6a + -6a Combine like terms: 6a + -6a = 0 -30 + 12a = 12 + 0 -30 + 12a = 12 Add '30' to each side of the equation. -30 + 30 + 12a = 12 + 30 Combine like terms: -30 + 30 = 0 0 + 12a = 12 + 30 12a = 12 + 30 Combine like terms: 12 + 30 = 42 12a = 42 Divide each side by '12'. a = 3.5 Simplifying a = 3.5
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