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