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Simplifying -5a + 3 + 2a = 13 + -30 + -6a Reorder the terms: 3 + -5a + 2a = 13 + -30 + -6a Combine like terms: -5a + 2a = -3a 3 + -3a = 13 + -30 + -6a Combine like terms: 13 + -30 = -17 3 + -3a = -17 + -6a Solving 3 + -3a = -17 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 3 + -3a + 6a = -17 + -6a + 6a Combine like terms: -3a + 6a = 3a 3 + 3a = -17 + -6a + 6a Combine like terms: -6a + 6a = 0 3 + 3a = -17 + 0 3 + 3a = -17 Add '-3' to each side of the equation. 3 + -3 + 3a = -17 + -3 Combine like terms: 3 + -3 = 0 0 + 3a = -17 + -3 3a = -17 + -3 Combine like terms: -17 + -3 = -20 3a = -20 Divide each side by '3'. a = -6.666666667 Simplifying a = -6.666666667
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