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Simplifying -6(7a + 5) = 12 Reorder the terms: -6(5 + 7a) = 12 (5 * -6 + 7a * -6) = 12 (-30 + -42a) = 12 Solving -30 + -42a = 12 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -42a = 12 + 30 Combine like terms: -30 + 30 = 0 0 + -42a = 12 + 30 -42a = 12 + 30 Combine like terms: 12 + 30 = 42 -42a = 42 Divide each side by '-42'. a = -1 Simplifying a = -1
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