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Simplifying -2a + 6 = 30 + -5a Reorder the terms: 6 + -2a = 30 + -5a Solving 6 + -2a = 30 + -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. 6 + -2a + 5a = 30 + -5a + 5a Combine like terms: -2a + 5a = 3a 6 + 3a = 30 + -5a + 5a Combine like terms: -5a + 5a = 0 6 + 3a = 30 + 0 6 + 3a = 30 Add '-6' to each side of the equation. 6 + -6 + 3a = 30 + -6 Combine like terms: 6 + -6 = 0 0 + 3a = 30 + -6 3a = 30 + -6 Combine like terms: 30 + -6 = 24 3a = 24 Divide each side by '3'. a = 8 Simplifying a = 8
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