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Simplifying -78 = 6(6 + a) -78 = (6 * 6 + a * 6) -78 = (36 + 6a) Solving -78 = 36 + 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 = 36 + 6a + -6a Combine like terms: 6a + -6a = 0 -78 + -6a = 36 + 0 -78 + -6a = 36 Add '78' to each side of the equation. -78 + 78 + -6a = 36 + 78 Combine like terms: -78 + 78 = 0 0 + -6a = 36 + 78 -6a = 36 + 78 Combine like terms: 36 + 78 = 114 -6a = 114 Divide each side by '-6'. a = -19 Simplifying a = -19
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