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Simplifying 2a + 1 = 3a + -1(7a + 3) + 4 Reorder the terms: 1 + 2a = 3a + -1(7a + 3) + 4 Reorder the terms: 1 + 2a = 3a + -1(3 + 7a) + 4 1 + 2a = 3a + (3 * -1 + 7a * -1) + 4 1 + 2a = 3a + (-3 + -7a) + 4 Reorder the terms: 1 + 2a = -3 + 4 + 3a + -7a Combine like terms: -3 + 4 = 1 1 + 2a = 1 + 3a + -7a Combine like terms: 3a + -7a = -4a 1 + 2a = 1 + -4a Add '-1' to each side of the equation. 1 + -1 + 2a = 1 + -1 + -4a Combine like terms: 1 + -1 = 0 0 + 2a = 1 + -1 + -4a 2a = 1 + -1 + -4a Combine like terms: 1 + -1 = 0 2a = 0 + -4a 2a = -4a Solving 2a = -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. 2a + 4a = -4a + 4a Combine like terms: 2a + 4a = 6a 6a = -4a + 4a Combine like terms: -4a + 4a = 0 6a = 0 Divide each side by '6'. a = 0 Simplifying a = 0
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