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Simplifying 6a + 1 = 2a + -7 Reorder the terms: 1 + 6a = 2a + -7 Reorder the terms: 1 + 6a = -7 + 2a Solving 1 + 6a = -7 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 1 + 6a + -2a = -7 + 2a + -2a Combine like terms: 6a + -2a = 4a 1 + 4a = -7 + 2a + -2a Combine like terms: 2a + -2a = 0 1 + 4a = -7 + 0 1 + 4a = -7 Add '-1' to each side of the equation. 1 + -1 + 4a = -7 + -1 Combine like terms: 1 + -1 = 0 0 + 4a = -7 + -1 4a = -7 + -1 Combine like terms: -7 + -1 = -8 4a = -8 Divide each side by '4'. a = -2 Simplifying a = -2
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