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Simplifying 1 + 2a = 7a + -4 Reorder the terms: 1 + 2a = -4 + 7a Solving 1 + 2a = -4 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 1 + 2a + -7a = -4 + 7a + -7a Combine like terms: 2a + -7a = -5a 1 + -5a = -4 + 7a + -7a Combine like terms: 7a + -7a = 0 1 + -5a = -4 + 0 1 + -5a = -4 Add '-1' to each side of the equation. 1 + -1 + -5a = -4 + -1 Combine like terms: 1 + -1 = 0 0 + -5a = -4 + -1 -5a = -4 + -1 Combine like terms: -4 + -1 = -5 -5a = -5 Divide each side by '-5'. a = 1 Simplifying a = 1
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