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Simplifying 6 + 4(a + 8) = 8a + 5 + a Reorder the terms: 6 + 4(8 + a) = 8a + 5 + a 6 + (8 * 4 + a * 4) = 8a + 5 + a 6 + (32 + 4a) = 8a + 5 + a Combine like terms: 6 + 32 = 38 38 + 4a = 8a + 5 + a Reorder the terms: 38 + 4a = 5 + 8a + a Combine like terms: 8a + a = 9a 38 + 4a = 5 + 9a Solving 38 + 4a = 5 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 38 + 4a + -9a = 5 + 9a + -9a Combine like terms: 4a + -9a = -5a 38 + -5a = 5 + 9a + -9a Combine like terms: 9a + -9a = 0 38 + -5a = 5 + 0 38 + -5a = 5 Add '-38' to each side of the equation. 38 + -38 + -5a = 5 + -38 Combine like terms: 38 + -38 = 0 0 + -5a = 5 + -38 -5a = 5 + -38 Combine like terms: 5 + -38 = -33 -5a = -33 Divide each side by '-5'. a = 6.6 Simplifying a = 6.6
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