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Simplifying 1 + 7a = 1 + 4a + 2a + -5 Reorder the terms: 1 + 7a = 1 + -5 + 4a + 2a Combine like terms: 1 + -5 = -4 1 + 7a = -4 + 4a + 2a Combine like terms: 4a + 2a = 6a 1 + 7a = -4 + 6a Solving 1 + 7a = -4 + 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 + 7a + -6a = -4 + 6a + -6a Combine like terms: 7a + -6a = 1a 1 + 1a = -4 + 6a + -6a Combine like terms: 6a + -6a = 0 1 + 1a = -4 + 0 1 + 1a = -4 Add '-1' to each side of the equation. 1 + -1 + 1a = -4 + -1 Combine like terms: 1 + -1 = 0 0 + 1a = -4 + -1 1a = -4 + -1 Combine like terms: -4 + -1 = -5 1a = -5 Divide each side by '1'. a = -5 Simplifying a = -5
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