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Simplifying 5a + 27 = 8a + -18 Reorder the terms: 27 + 5a = 8a + -18 Reorder the terms: 27 + 5a = -18 + 8a Solving 27 + 5a = -18 + 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. 27 + 5a + -8a = -18 + 8a + -8a Combine like terms: 5a + -8a = -3a 27 + -3a = -18 + 8a + -8a Combine like terms: 8a + -8a = 0 27 + -3a = -18 + 0 27 + -3a = -18 Add '-27' to each side of the equation. 27 + -27 + -3a = -18 + -27 Combine like terms: 27 + -27 = 0 0 + -3a = -18 + -27 -3a = -18 + -27 Combine like terms: -18 + -27 = -45 -3a = -45 Divide each side by '-3'. a = 15 Simplifying a = 15
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