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Simplifying -8a + 6(x + 4) = 76 Reorder the terms: -8a + 6(4 + x) = 76 -8a + (4 * 6 + x * 6) = 76 -8a + (24 + 6x) = 76 Reorder the terms: 24 + -8a + 6x = 76 Solving 24 + -8a + 6x = 76 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -8a + -24 + 6x = 76 + -24 Reorder the terms: 24 + -24 + -8a + 6x = 76 + -24 Combine like terms: 24 + -24 = 0 0 + -8a + 6x = 76 + -24 -8a + 6x = 76 + -24 Combine like terms: 76 + -24 = 52 -8a + 6x = 52 Add '-6x' to each side of the equation. -8a + 6x + -6x = 52 + -6x Combine like terms: 6x + -6x = 0 -8a + 0 = 52 + -6x -8a = 52 + -6x Divide each side by '-8'. a = -6.5 + 0.75x Simplifying a = -6.5 + 0.75x
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