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Simplifying 2a + 5 + -8a = 47 Reorder the terms: 5 + 2a + -8a = 47 Combine like terms: 2a + -8a = -6a 5 + -6a = 47 Solving 5 + -6a = 47 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6a = 47 + -5 Combine like terms: 5 + -5 = 0 0 + -6a = 47 + -5 -6a = 47 + -5 Combine like terms: 47 + -5 = 42 -6a = 42 Divide each side by '-6'. a = -7 Simplifying a = -7
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