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Simplifying -4(-1a + -1) + -6(4a + -6) = a + 2 + 3a Reorder the terms: -4(-1 + -1a) + -6(4a + -6) = a + 2 + 3a (-1 * -4 + -1a * -4) + -6(4a + -6) = a + 2 + 3a (4 + 4a) + -6(4a + -6) = a + 2 + 3a Reorder the terms: 4 + 4a + -6(-6 + 4a) = a + 2 + 3a 4 + 4a + (-6 * -6 + 4a * -6) = a + 2 + 3a 4 + 4a + (36 + -24a) = a + 2 + 3a Reorder the terms: 4 + 36 + 4a + -24a = a + 2 + 3a Combine like terms: 4 + 36 = 40 40 + 4a + -24a = a + 2 + 3a Combine like terms: 4a + -24a = -20a 40 + -20a = a + 2 + 3a Reorder the terms: 40 + -20a = 2 + a + 3a Combine like terms: a + 3a = 4a 40 + -20a = 2 + 4a Solving 40 + -20a = 2 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 40 + -20a + -4a = 2 + 4a + -4a Combine like terms: -20a + -4a = -24a 40 + -24a = 2 + 4a + -4a Combine like terms: 4a + -4a = 0 40 + -24a = 2 + 0 40 + -24a = 2 Add '-40' to each side of the equation. 40 + -40 + -24a = 2 + -40 Combine like terms: 40 + -40 = 0 0 + -24a = 2 + -40 -24a = 2 + -40 Combine like terms: 2 + -40 = -38 -24a = -38 Divide each side by '-24'. a = 1.583333333 Simplifying a = 1.583333333
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