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Simplifying 5a + 3 = 8a + -2 Reorder the terms: 3 + 5a = 8a + -2 Reorder the terms: 3 + 5a = -2 + 8a Solving 3 + 5a = -2 + 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. 3 + 5a + -8a = -2 + 8a + -8a Combine like terms: 5a + -8a = -3a 3 + -3a = -2 + 8a + -8a Combine like terms: 8a + -8a = 0 3 + -3a = -2 + 0 3 + -3a = -2 Add '-3' to each side of the equation. 3 + -3 + -3a = -2 + -3 Combine like terms: 3 + -3 = 0 0 + -3a = -2 + -3 -3a = -2 + -3 Combine like terms: -2 + -3 = -5 -3a = -5 Divide each side by '-3'. a = 1.666666667 Simplifying a = 1.666666667
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