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Simplifying 6(a + -8) + 4 = -12 + -2a Reorder the terms: 6(-8 + a) + 4 = -12 + -2a (-8 * 6 + a * 6) + 4 = -12 + -2a (-48 + 6a) + 4 = -12 + -2a Reorder the terms: -48 + 4 + 6a = -12 + -2a Combine like terms: -48 + 4 = -44 -44 + 6a = -12 + -2a Solving -44 + 6a = -12 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. -44 + 6a + 2a = -12 + -2a + 2a Combine like terms: 6a + 2a = 8a -44 + 8a = -12 + -2a + 2a Combine like terms: -2a + 2a = 0 -44 + 8a = -12 + 0 -44 + 8a = -12 Add '44' to each side of the equation. -44 + 44 + 8a = -12 + 44 Combine like terms: -44 + 44 = 0 0 + 8a = -12 + 44 8a = -12 + 44 Combine like terms: -12 + 44 = 32 8a = 32 Divide each side by '8'. a = 4 Simplifying a = 4
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