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Simplifying 312 = -6(4 + -8a) 312 = (4 * -6 + -8a * -6) 312 = (-24 + 48a) Solving 312 = -24 + 48a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-48a' to each side of the equation. 312 + -48a = -24 + 48a + -48a Combine like terms: 48a + -48a = 0 312 + -48a = -24 + 0 312 + -48a = -24 Add '-312' to each side of the equation. 312 + -312 + -48a = -24 + -312 Combine like terms: 312 + -312 = 0 0 + -48a = -24 + -312 -48a = -24 + -312 Combine like terms: -24 + -312 = -336 -48a = -336 Divide each side by '-48'. a = 7 Simplifying a = 7
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