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Simplifying 5(3a + -6) = 6 + 3a Reorder the terms: 5(-6 + 3a) = 6 + 3a (-6 * 5 + 3a * 5) = 6 + 3a (-30 + 15a) = 6 + 3a Solving -30 + 15a = 6 + 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 + 15a + -3a = 6 + 3a + -3a Combine like terms: 15a + -3a = 12a -30 + 12a = 6 + 3a + -3a Combine like terms: 3a + -3a = 0 -30 + 12a = 6 + 0 -30 + 12a = 6 Add '30' to each side of the equation. -30 + 30 + 12a = 6 + 30 Combine like terms: -30 + 30 = 0 0 + 12a = 6 + 30 12a = 6 + 30 Combine like terms: 6 + 30 = 36 12a = 36 Divide each side by '12'. a = 3 Simplifying a = 3
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