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Simplifying 2a + (4 + -1a) = 3 + -1(3a + -6) Remove parenthesis around (4 + -1a) 2a + 4 + -1a = 3 + -1(3a + -6) Reorder the terms: 4 + 2a + -1a = 3 + -1(3a + -6) Combine like terms: 2a + -1a = 1a 4 + 1a = 3 + -1(3a + -6) Reorder the terms: 4 + 1a = 3 + -1(-6 + 3a) 4 + 1a = 3 + (-6 * -1 + 3a * -1) 4 + 1a = 3 + (6 + -3a) Combine like terms: 3 + 6 = 9 4 + 1a = 9 + -3a Solving 4 + 1a = 9 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 4 + 1a + 3a = 9 + -3a + 3a Combine like terms: 1a + 3a = 4a 4 + 4a = 9 + -3a + 3a Combine like terms: -3a + 3a = 0 4 + 4a = 9 + 0 4 + 4a = 9 Add '-4' to each side of the equation. 4 + -4 + 4a = 9 + -4 Combine like terms: 4 + -4 = 0 0 + 4a = 9 + -4 4a = 9 + -4 Combine like terms: 9 + -4 = 5 4a = 5 Divide each side by '4'. a = 1.25 Simplifying a = 1.25
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