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Simplifying 78 = -6(8 + -7a) 78 = (8 * -6 + -7a * -6) 78 = (-48 + 42a) Solving 78 = -48 + 42a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-42a' to each side of the equation. 78 + -42a = -48 + 42a + -42a Combine like terms: 42a + -42a = 0 78 + -42a = -48 + 0 78 + -42a = -48 Add '-78' to each side of the equation. 78 + -78 + -42a = -48 + -78 Combine like terms: 78 + -78 = 0 0 + -42a = -48 + -78 -42a = -48 + -78 Combine like terms: -48 + -78 = -126 -42a = -126 Divide each side by '-42'. a = 3 Simplifying a = 3
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