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Simplifying 3 + -1(5a + -4) = 2(4a + 1) Reorder the terms: 3 + -1(-4 + 5a) = 2(4a + 1) 3 + (-4 * -1 + 5a * -1) = 2(4a + 1) 3 + (4 + -5a) = 2(4a + 1) Combine like terms: 3 + 4 = 7 7 + -5a = 2(4a + 1) Reorder the terms: 7 + -5a = 2(1 + 4a) 7 + -5a = (1 * 2 + 4a * 2) 7 + -5a = (2 + 8a) Solving 7 + -5a = 2 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 7 + -5a + -8a = 2 + 8a + -8a Combine like terms: -5a + -8a = -13a 7 + -13a = 2 + 8a + -8a Combine like terms: 8a + -8a = 0 7 + -13a = 2 + 0 7 + -13a = 2 Add '-7' to each side of the equation. 7 + -7 + -13a = 2 + -7 Combine like terms: 7 + -7 = 0 0 + -13a = 2 + -7 -13a = 2 + -7 Combine like terms: 2 + -7 = -5 -13a = -5 Divide each side by '-13'. a = 0.3846153846 Simplifying a = 0.3846153846
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