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Simplifying 3a + 5 = 8a + -30 Reorder the terms: 5 + 3a = 8a + -30 Reorder the terms: 5 + 3a = -30 + 8a Solving 5 + 3a = -30 + 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 + 3a + -8a = -30 + 8a + -8a Combine like terms: 3a + -8a = -5a 5 + -5a = -30 + 8a + -8a Combine like terms: 8a + -8a = 0 5 + -5a = -30 + 0 5 + -5a = -30 Add '-5' to each side of the equation. 5 + -5 + -5a = -30 + -5 Combine like terms: 5 + -5 = 0 0 + -5a = -30 + -5 -5a = -30 + -5 Combine like terms: -30 + -5 = -35 -5a = -35 Divide each side by '-5'. a = 7 Simplifying a = 7
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