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