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Simplifying 4a + -1(a + -2) = 7 + -2(3a + -4) Reorder the terms: 4a + -1(-2 + a) = 7 + -2(3a + -4) 4a + (-2 * -1 + a * -1) = 7 + -2(3a + -4) 4a + (2 + -1a) = 7 + -2(3a + -4) Reorder the terms: 2 + 4a + -1a = 7 + -2(3a + -4) Combine like terms: 4a + -1a = 3a 2 + 3a = 7 + -2(3a + -4) Reorder the terms: 2 + 3a = 7 + -2(-4 + 3a) 2 + 3a = 7 + (-4 * -2 + 3a * -2) 2 + 3a = 7 + (8 + -6a) Combine like terms: 7 + 8 = 15 2 + 3a = 15 + -6a Solving 2 + 3a = 15 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 2 + 3a + 6a = 15 + -6a + 6a Combine like terms: 3a + 6a = 9a 2 + 9a = 15 + -6a + 6a Combine like terms: -6a + 6a = 0 2 + 9a = 15 + 0 2 + 9a = 15 Add '-2' to each side of the equation. 2 + -2 + 9a = 15 + -2 Combine like terms: 2 + -2 = 0 0 + 9a = 15 + -2 9a = 15 + -2 Combine like terms: 15 + -2 = 13 9a = 13 Divide each side by '9'. a = 1.444444444 Simplifying a = 1.444444444
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