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Simplifying 3a + 4 + 6 + a = -1(1 + 3a) + 3(2a + 3) Reorder the terms: 4 + 6 + 3a + a = -1(1 + 3a) + 3(2a + 3) Combine like terms: 4 + 6 = 10 10 + 3a + a = -1(1 + 3a) + 3(2a + 3) Combine like terms: 3a + a = 4a 10 + 4a = -1(1 + 3a) + 3(2a + 3) 10 + 4a = (1 * -1 + 3a * -1) + 3(2a + 3) 10 + 4a = (-1 + -3a) + 3(2a + 3) Reorder the terms: 10 + 4a = -1 + -3a + 3(3 + 2a) 10 + 4a = -1 + -3a + (3 * 3 + 2a * 3) 10 + 4a = -1 + -3a + (9 + 6a) Reorder the terms: 10 + 4a = -1 + 9 + -3a + 6a Combine like terms: -1 + 9 = 8 10 + 4a = 8 + -3a + 6a Combine like terms: -3a + 6a = 3a 10 + 4a = 8 + 3a Solving 10 + 4a = 8 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 10 + 4a + -3a = 8 + 3a + -3a Combine like terms: 4a + -3a = 1a 10 + 1a = 8 + 3a + -3a Combine like terms: 3a + -3a = 0 10 + 1a = 8 + 0 10 + 1a = 8 Add '-10' to each side of the equation. 10 + -10 + 1a = 8 + -10 Combine like terms: 10 + -10 = 0 0 + 1a = 8 + -10 1a = 8 + -10 Combine like terms: 8 + -10 = -2 1a = -2 Divide each side by '1'. a = -2 Simplifying a = -2
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