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Simplifying 4(a + 3) + a = -1(4a + 6) + 1 Reorder the terms: 4(3 + a) + a = -1(4a + 6) + 1 (3 * 4 + a * 4) + a = -1(4a + 6) + 1 (12 + 4a) + a = -1(4a + 6) + 1 Combine like terms: 4a + a = 5a 12 + 5a = -1(4a + 6) + 1 Reorder the terms: 12 + 5a = -1(6 + 4a) + 1 12 + 5a = (6 * -1 + 4a * -1) + 1 12 + 5a = (-6 + -4a) + 1 Reorder the terms: 12 + 5a = -6 + 1 + -4a Combine like terms: -6 + 1 = -5 12 + 5a = -5 + -4a Solving 12 + 5a = -5 + -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 + 5a + 4a = -5 + -4a + 4a Combine like terms: 5a + 4a = 9a 12 + 9a = -5 + -4a + 4a Combine like terms: -4a + 4a = 0 12 + 9a = -5 + 0 12 + 9a = -5 Add '-12' to each side of the equation. 12 + -12 + 9a = -5 + -12 Combine like terms: 12 + -12 = 0 0 + 9a = -5 + -12 9a = -5 + -12 Combine like terms: -5 + -12 = -17 9a = -17 Divide each side by '9'. a = -1.888888889 Simplifying a = -1.888888889
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