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Simplifying 5a + -3 + 8 = 5a + 3a + -12 Reorder the terms: -3 + 8 + 5a = 5a + 3a + -12 Combine like terms: -3 + 8 = 5 5 + 5a = 5a + 3a + -12 Reorder the terms: 5 + 5a = -12 + 5a + 3a Combine like terms: 5a + 3a = 8a 5 + 5a = -12 + 8a Solving 5 + 5a = -12 + 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 + 5a + -8a = -12 + 8a + -8a Combine like terms: 5a + -8a = -3a 5 + -3a = -12 + 8a + -8a Combine like terms: 8a + -8a = 0 5 + -3a = -12 + 0 5 + -3a = -12 Add '-5' to each side of the equation. 5 + -5 + -3a = -12 + -5 Combine like terms: 5 + -5 = 0 0 + -3a = -12 + -5 -3a = -12 + -5 Combine like terms: -12 + -5 = -17 -3a = -17 Divide each side by '-3'. a = 5.666666667 Simplifying a = 5.666666667
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