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