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Simplifying -3(6 + -4a) = 7a + 7 (6 * -3 + -4a * -3) = 7a + 7 (-18 + 12a) = 7a + 7 Reorder the terms: -18 + 12a = 7 + 7a Solving -18 + 12a = 7 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -18 + 12a + -7a = 7 + 7a + -7a Combine like terms: 12a + -7a = 5a -18 + 5a = 7 + 7a + -7a Combine like terms: 7a + -7a = 0 -18 + 5a = 7 + 0 -18 + 5a = 7 Add '18' to each side of the equation. -18 + 18 + 5a = 7 + 18 Combine like terms: -18 + 18 = 0 0 + 5a = 7 + 18 5a = 7 + 18 Combine like terms: 7 + 18 = 25 5a = 25 Divide each side by '5'. a = 5 Simplifying a = 5
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