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Simplifying 6 + -1a = 5a + 30 Reorder the terms: 6 + -1a = 30 + 5a Solving 6 + -1a = 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 + -1a + -5a = 30 + 5a + -5a Combine like terms: -1a + -5a = -6a 6 + -6a = 30 + 5a + -5a Combine like terms: 5a + -5a = 0 6 + -6a = 30 + 0 6 + -6a = 30 Add '-6' to each side of the equation. 6 + -6 + -6a = 30 + -6 Combine like terms: 6 + -6 = 0 0 + -6a = 30 + -6 -6a = 30 + -6 Combine like terms: 30 + -6 = 24 -6a = 24 Divide each side by '-6'. a = -4 Simplifying a = -4
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