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Simplifying 2a + -3(4 + -1a) = 2(4a + -2) + 3 2a + (4 * -3 + -1a * -3) = 2(4a + -2) + 3 2a + (-12 + 3a) = 2(4a + -2) + 3 Reorder the terms: -12 + 2a + 3a = 2(4a + -2) + 3 Combine like terms: 2a + 3a = 5a -12 + 5a = 2(4a + -2) + 3 Reorder the terms: -12 + 5a = 2(-2 + 4a) + 3 -12 + 5a = (-2 * 2 + 4a * 2) + 3 -12 + 5a = (-4 + 8a) + 3 Reorder the terms: -12 + 5a = -4 + 3 + 8a Combine like terms: -4 + 3 = -1 -12 + 5a = -1 + 8a Solving -12 + 5a = -1 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -12 + 5a + -8a = -1 + 8a + -8a Combine like terms: 5a + -8a = -3a -12 + -3a = -1 + 8a + -8a Combine like terms: 8a + -8a = 0 -12 + -3a = -1 + 0 -12 + -3a = -1 Add '12' to each side of the equation. -12 + 12 + -3a = -1 + 12 Combine like terms: -12 + 12 = 0 0 + -3a = -1 + 12 -3a = -1 + 12 Combine like terms: -1 + 12 = 11 -3a = 11 Divide each side by '-3'. a = -3.666666667 Simplifying a = -3.666666667
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