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Simplifying 3(a + 4) + -2(3a + 4) = 4a + -1 Reorder the terms: 3(4 + a) + -2(3a + 4) = 4a + -1 (4 * 3 + a * 3) + -2(3a + 4) = 4a + -1 (12 + 3a) + -2(3a + 4) = 4a + -1 Reorder the terms: 12 + 3a + -2(4 + 3a) = 4a + -1 12 + 3a + (4 * -2 + 3a * -2) = 4a + -1 12 + 3a + (-8 + -6a) = 4a + -1 Reorder the terms: 12 + -8 + 3a + -6a = 4a + -1 Combine like terms: 12 + -8 = 4 4 + 3a + -6a = 4a + -1 Combine like terms: 3a + -6a = -3a 4 + -3a = 4a + -1 Reorder the terms: 4 + -3a = -1 + 4a Solving 4 + -3a = -1 + 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. 4 + -3a + -4a = -1 + 4a + -4a Combine like terms: -3a + -4a = -7a 4 + -7a = -1 + 4a + -4a Combine like terms: 4a + -4a = 0 4 + -7a = -1 + 0 4 + -7a = -1 Add '-4' to each side of the equation. 4 + -4 + -7a = -1 + -4 Combine like terms: 4 + -4 = 0 0 + -7a = -1 + -4 -7a = -1 + -4 Combine like terms: -1 + -4 = -5 -7a = -5 Divide each side by '-7'. a = 0.7142857143 Simplifying a = 0.7142857143
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