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Simplifying 6(3a + -1) + 3(2a + 3) = 1 + -7a Reorder the terms: 6(-1 + 3a) + 3(2a + 3) = 1 + -7a (-1 * 6 + 3a * 6) + 3(2a + 3) = 1 + -7a (-6 + 18a) + 3(2a + 3) = 1 + -7a Reorder the terms: -6 + 18a + 3(3 + 2a) = 1 + -7a -6 + 18a + (3 * 3 + 2a * 3) = 1 + -7a -6 + 18a + (9 + 6a) = 1 + -7a Reorder the terms: -6 + 9 + 18a + 6a = 1 + -7a Combine like terms: -6 + 9 = 3 3 + 18a + 6a = 1 + -7a Combine like terms: 18a + 6a = 24a 3 + 24a = 1 + -7a Solving 3 + 24a = 1 + -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. 3 + 24a + 7a = 1 + -7a + 7a Combine like terms: 24a + 7a = 31a 3 + 31a = 1 + -7a + 7a Combine like terms: -7a + 7a = 0 3 + 31a = 1 + 0 3 + 31a = 1 Add '-3' to each side of the equation. 3 + -3 + 31a = 1 + -3 Combine like terms: 3 + -3 = 0 0 + 31a = 1 + -3 31a = 1 + -3 Combine like terms: 1 + -3 = -2 31a = -2 Divide each side by '31'. a = -0.06451612903 Simplifying a = -0.06451612903
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