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Simplifying -78 = -6(a + 1) Reorder the terms: -78 = -6(1 + a) -78 = (1 * -6 + a * -6) -78 = (-6 + -6a) Solving -78 = -6 + -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. -78 + 6a = -6 + -6a + 6a Combine like terms: -6a + 6a = 0 -78 + 6a = -6 + 0 -78 + 6a = -6 Add '78' to each side of the equation. -78 + 78 + 6a = -6 + 78 Combine like terms: -78 + 78 = 0 0 + 6a = -6 + 78 6a = -6 + 78 Combine like terms: -6 + 78 = 72 6a = 72 Divide each side by '6'. a = 12 Simplifying a = 12
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