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Simplifying 5a + 27 = 13a + -37 Reorder the terms: 27 + 5a = 13a + -37 Reorder the terms: 27 + 5a = -37 + 13a Solving 27 + 5a = -37 + 13a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13a' to each side of the equation. 27 + 5a + -13a = -37 + 13a + -13a Combine like terms: 5a + -13a = -8a 27 + -8a = -37 + 13a + -13a Combine like terms: 13a + -13a = 0 27 + -8a = -37 + 0 27 + -8a = -37 Add '-27' to each side of the equation. 27 + -27 + -8a = -37 + -27 Combine like terms: 27 + -27 = 0 0 + -8a = -37 + -27 -8a = -37 + -27 Combine like terms: -37 + -27 = -64 -8a = -64 Divide each side by '-8'. a = 8 Simplifying a = 8
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