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Simplifying 3(2a + -1) + 4 = 3a + -7[2(3a + -1) + -1(-6)] Reorder the terms: 3(-1 + 2a) + 4 = 3a + -7[2(3a + -1) + -1(-6)] (-1 * 3 + 2a * 3) + 4 = 3a + -7[2(3a + -1) + -1(-6)] (-3 + 6a) + 4 = 3a + -7[2(3a + -1) + -1(-6)] Reorder the terms: -3 + 4 + 6a = 3a + -7[2(3a + -1) + -1(-6)] Combine like terms: -3 + 4 = 1 1 + 6a = 3a + -7[2(3a + -1) + -1(-6)] Reorder the terms: 1 + 6a = 3a + -7[2(-1 + 3a) + -1(-6)] 1 + 6a = 3a + -7[(-1 * 2 + 3a * 2) + -1(-6)] 1 + 6a = 3a + -7[(-2 + 6a) + -1(-6)] Multiply -1 * -6 1 + 6a = 3a + -7[-2 + 6a + 6] Reorder the terms: 1 + 6a = 3a + -7[-2 + 6 + 6a] Combine like terms: -2 + 6 = 4 1 + 6a = 3a + -7[4 + 6a] 1 + 6a = 3a + [4 * -7 + 6a * -7] 1 + 6a = 3a + [-28 + -42a] Reorder the terms: 1 + 6a = -28 + 3a + -42a Combine like terms: 3a + -42a = -39a 1 + 6a = -28 + -39a Solving 1 + 6a = -28 + -39a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '39a' to each side of the equation. 1 + 6a + 39a = -28 + -39a + 39a Combine like terms: 6a + 39a = 45a 1 + 45a = -28 + -39a + 39a Combine like terms: -39a + 39a = 0 1 + 45a = -28 + 0 1 + 45a = -28 Add '-1' to each side of the equation. 1 + -1 + 45a = -28 + -1 Combine like terms: 1 + -1 = 0 0 + 45a = -28 + -1 45a = -28 + -1 Combine like terms: -28 + -1 = -29 45a = -29 Divide each side by '45'. a = -0.6444444444 Simplifying a = -0.6444444444
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