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Simplifying -194 = -3a + -4(6a + 8) Reorder the terms: -194 = -3a + -4(8 + 6a) -194 = -3a + (8 * -4 + 6a * -4) -194 = -3a + (-32 + -24a) Reorder the terms: -194 = -32 + -3a + -24a Combine like terms: -3a + -24a = -27a -194 = -32 + -27a Solving -194 = -32 + -27a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '27a' to each side of the equation. -194 + 27a = -32 + -27a + 27a Combine like terms: -27a + 27a = 0 -194 + 27a = -32 + 0 -194 + 27a = -32 Add '194' to each side of the equation. -194 + 194 + 27a = -32 + 194 Combine like terms: -194 + 194 = 0 0 + 27a = -32 + 194 27a = -32 + 194 Combine like terms: -32 + 194 = 162 27a = 162 Divide each side by '27'. a = 6 Simplifying a = 6
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