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Simplifying 6a + 1 = 4a + -21 Reorder the terms: 1 + 6a = 4a + -21 Reorder the terms: 1 + 6a = -21 + 4a Solving 1 + 6a = -21 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 1 + 6a + -4a = -21 + 4a + -4a Combine like terms: 6a + -4a = 2a 1 + 2a = -21 + 4a + -4a Combine like terms: 4a + -4a = 0 1 + 2a = -21 + 0 1 + 2a = -21 Add '-1' to each side of the equation. 1 + -1 + 2a = -21 + -1 Combine like terms: 1 + -1 = 0 0 + 2a = -21 + -1 2a = -21 + -1 Combine like terms: -21 + -1 = -22 2a = -22 Divide each side by '2'. a = -11 Simplifying a = -11
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