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Simplifying a + 5 = 5a + 3a + -8 Reorder the terms: 5 + a = 5a + 3a + -8 Reorder the terms: 5 + a = -8 + 5a + 3a Combine like terms: 5a + 3a = 8a 5 + a = -8 + 8a Solving 5 + a = -8 + 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. 5 + a + -8a = -8 + 8a + -8a Combine like terms: a + -8a = -7a 5 + -7a = -8 + 8a + -8a Combine like terms: 8a + -8a = 0 5 + -7a = -8 + 0 5 + -7a = -8 Add '-5' to each side of the equation. 5 + -5 + -7a = -8 + -5 Combine like terms: 5 + -5 = 0 0 + -7a = -8 + -5 -7a = -8 + -5 Combine like terms: -8 + -5 = -13 -7a = -13 Divide each side by '-7'. a = 1.857142857 Simplifying a = 1.857142857
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