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Simplifying -4(2 + -1a) + 3a = 3(a + -4) (2 * -4 + -1a * -4) + 3a = 3(a + -4) (-8 + 4a) + 3a = 3(a + -4) Combine like terms: 4a + 3a = 7a -8 + 7a = 3(a + -4) Reorder the terms: -8 + 7a = 3(-4 + a) -8 + 7a = (-4 * 3 + a * 3) -8 + 7a = (-12 + 3a) Solving -8 + 7a = -12 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -8 + 7a + -3a = -12 + 3a + -3a Combine like terms: 7a + -3a = 4a -8 + 4a = -12 + 3a + -3a Combine like terms: 3a + -3a = 0 -8 + 4a = -12 + 0 -8 + 4a = -12 Add '8' to each side of the equation. -8 + 8 + 4a = -12 + 8 Combine like terms: -8 + 8 = 0 0 + 4a = -12 + 8 4a = -12 + 8 Combine like terms: -12 + 8 = -4 4a = -4 Divide each side by '4'. a = -1 Simplifying a = -1
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