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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 = -7a 38 + 4a = 5 + -7a Solving 38 + 4a = 5 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. 38 + 4a + 7a = 5 + -7a + 7a Combine like terms: 4a + 7a = 11a 38 + 11a = 5 + -7a + 7a Combine like terms: -7a + 7a = 0 38 + 11a = 5 + 0 38 + 11a = 5 Add '-38' to each side of the equation. 38 + -38 + 11a = 5 + -38 Combine like terms: 38 + -38 = 0 0 + 11a = 5 + -38 11a = 5 + -38 Combine like terms: 5 + -38 = -33 11a = -33 Divide each side by '11'. a = -3 Simplifying a = -3
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