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Simplifying a + -2(a + -3) = 4(a + 2) + -2a Reorder the terms: a + -2(-3 + a) = 4(a + 2) + -2a a + (-3 * -2 + a * -2) = 4(a + 2) + -2a a + (6 + -2a) = 4(a + 2) + -2a Reorder the terms: 6 + a + -2a = 4(a + 2) + -2a Combine like terms: a + -2a = -1a 6 + -1a = 4(a + 2) + -2a Reorder the terms: 6 + -1a = 4(2 + a) + -2a 6 + -1a = (2 * 4 + a * 4) + -2a 6 + -1a = (8 + 4a) + -2a Combine like terms: 4a + -2a = 2a 6 + -1a = 8 + 2a Solving 6 + -1a = 8 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 6 + -1a + -2a = 8 + 2a + -2a Combine like terms: -1a + -2a = -3a 6 + -3a = 8 + 2a + -2a Combine like terms: 2a + -2a = 0 6 + -3a = 8 + 0 6 + -3a = 8 Add '-6' to each side of the equation. 6 + -6 + -3a = 8 + -6 Combine like terms: 6 + -6 = 0 0 + -3a = 8 + -6 -3a = 8 + -6 Combine like terms: 8 + -6 = 2 -3a = 2 Divide each side by '-3'. a = -0.6666666667 Simplifying a = -0.6666666667
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