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Simplifying -2.3a + 16 = -5a + -38 Reorder the terms: 16 + -2.3a = -5a + -38 Reorder the terms: 16 + -2.3a = -38 + -5a Solving 16 + -2.3a = -38 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 16 + -2.3a + 5a = -38 + -5a + 5a Combine like terms: -2.3a + 5a = 2.7a 16 + 2.7a = -38 + -5a + 5a Combine like terms: -5a + 5a = 0 16 + 2.7a = -38 + 0 16 + 2.7a = -38 Add '-16' to each side of the equation. 16 + -16 + 2.7a = -38 + -16 Combine like terms: 16 + -16 = 0 0 + 2.7a = -38 + -16 2.7a = -38 + -16 Combine like terms: -38 + -16 = -54 2.7a = -54 Divide each side by '2.7'. a = -20 Simplifying a = -20
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