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Simplifying 6a + 2 = -1a + 30 Reorder the terms: 2 + 6a = -1a + 30 Reorder the terms: 2 + 6a = 30 + -1a Solving 2 + 6a = 30 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 2 + 6a + a = 30 + -1a + a Combine like terms: 6a + a = 7a 2 + 7a = 30 + -1a + a Combine like terms: -1a + a = 0 2 + 7a = 30 + 0 2 + 7a = 30 Add '-2' to each side of the equation. 2 + -2 + 7a = 30 + -2 Combine like terms: 2 + -2 = 0 0 + 7a = 30 + -2 7a = 30 + -2 Combine like terms: 30 + -2 = 28 7a = 28 Divide each side by '7'. a = 4 Simplifying a = 4
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