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Simplifying 1 + 2a = 7a + -1(8a + 3) Reorder the terms: 1 + 2a = 7a + -1(3 + 8a) 1 + 2a = 7a + (3 * -1 + 8a * -1) 1 + 2a = 7a + (-3 + -8a) Reorder the terms: 1 + 2a = -3 + 7a + -8a Combine like terms: 7a + -8a = -1a 1 + 2a = -3 + -1a Solving 1 + 2a = -3 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 1 + 2a + a = -3 + -1a + a Combine like terms: 2a + a = 3a 1 + 3a = -3 + -1a + a Combine like terms: -1a + a = 0 1 + 3a = -3 + 0 1 + 3a = -3 Add '-1' to each side of the equation. 1 + -1 + 3a = -3 + -1 Combine like terms: 1 + -1 = 0 0 + 3a = -3 + -1 3a = -3 + -1 Combine like terms: -3 + -1 = -4 3a = -4 Divide each side by '3'. a = -1.333333333 Simplifying a = -1.333333333
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