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Simplifying 8 + 5a = 8(a + 4) Reorder the terms: 8 + 5a = 8(4 + a) 8 + 5a = (4 * 8 + a * 8) 8 + 5a = (32 + 8a) Solving 8 + 5a = 32 + 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 + 5a + -8a = 32 + 8a + -8a Combine like terms: 5a + -8a = -3a 8 + -3a = 32 + 8a + -8a Combine like terms: 8a + -8a = 0 8 + -3a = 32 + 0 8 + -3a = 32 Add '-8' to each side of the equation. 8 + -8 + -3a = 32 + -8 Combine like terms: 8 + -8 = 0 0 + -3a = 32 + -8 -3a = 32 + -8 Combine like terms: 32 + -8 = 24 -3a = 24 Divide each side by '-3'. a = -8 Simplifying a = -8
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