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Simplifying 8 = 3(a + -8) + 5a Reorder the terms: 8 = 3(-8 + a) + 5a 8 = (-8 * 3 + a * 3) + 5a 8 = (-24 + 3a) + 5a Combine like terms: 3a + 5a = 8a 8 = -24 + 8a Solving 8 = -24 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 8 + -8a = -24 + 8a + -8a Combine like terms: 8a + -8a = 0 8 + -8a = -24 + 0 8 + -8a = -24 Add '-8' to each side of the equation. 8 + -8 + -8a = -24 + -8 Combine like terms: 8 + -8 = 0 0 + -8a = -24 + -8 -8a = -24 + -8 Combine like terms: -24 + -8 = -32 -8a = -32 Divide each side by '-8'. a = 4 Simplifying a = 4
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