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