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