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Simplifying 5a + 6 = 8a + -30 Reorder the terms: 6 + 5a = 8a + -30 Reorder the terms: 6 + 5a = -30 + 8a Solving 6 + 5a = -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. 6 + 5a + -8a = -30 + 8a + -8a Combine like terms: 5a + -8a = -3a 6 + -3a = -30 + 8a + -8a Combine like terms: 8a + -8a = 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 = -36 -3a = -36 Divide each side by '-3'. a = 12 Simplifying a = 12
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