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Simplifying 27 + 4a = 8(a + 4) + -5 Reorder the terms: 27 + 4a = 8(4 + a) + -5 27 + 4a = (4 * 8 + a * 8) + -5 27 + 4a = (32 + 8a) + -5 Reorder the terms: 27 + 4a = 32 + -5 + 8a Combine like terms: 32 + -5 = 27 27 + 4a = 27 + 8a Add '-27' to each side of the equation. 27 + -27 + 4a = 27 + -27 + 8a Combine like terms: 27 + -27 = 0 0 + 4a = 27 + -27 + 8a 4a = 27 + -27 + 8a Combine like terms: 27 + -27 = 0 4a = 0 + 8a 4a = 8a Solving 4a = 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. 4a + -8a = 8a + -8a Combine like terms: 4a + -8a = -4a -4a = 8a + -8a Combine like terms: 8a + -8a = 0 -4a = 0 Divide each side by '-4'. a = 0 Simplifying a = 0
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