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Simplifying -78 = -6(-2 + 3a) -78 = (-2 * -6 + 3a * -6) -78 = (12 + -18a) Solving -78 = 12 + -18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '18a' to each side of the equation. -78 + 18a = 12 + -18a + 18a Combine like terms: -18a + 18a = 0 -78 + 18a = 12 + 0 -78 + 18a = 12 Add '78' to each side of the equation. -78 + 78 + 18a = 12 + 78 Combine like terms: -78 + 78 = 0 0 + 18a = 12 + 78 18a = 12 + 78 Combine like terms: 12 + 78 = 90 18a = 90 Divide each side by '18'. a = 5 Simplifying a = 5
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