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Simplifying 3(-4 + -1a) = -3(3a + -2) (-4 * 3 + -1a * 3) = -3(3a + -2) (-12 + -3a) = -3(3a + -2) Reorder the terms: -12 + -3a = -3(-2 + 3a) -12 + -3a = (-2 * -3 + 3a * -3) -12 + -3a = (6 + -9a) Solving -12 + -3a = 6 + -9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9a' to each side of the equation. -12 + -3a + 9a = 6 + -9a + 9a Combine like terms: -3a + 9a = 6a -12 + 6a = 6 + -9a + 9a Combine like terms: -9a + 9a = 0 -12 + 6a = 6 + 0 -12 + 6a = 6 Add '12' to each side of the equation. -12 + 12 + 6a = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 6a = 6 + 12 6a = 6 + 12 Combine like terms: 6 + 12 = 18 6a = 18 Divide each side by '6'. a = 3 Simplifying a = 3
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