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Simplifying 3(2a + -4) = 4(a + -1) Reorder the terms: 3(-4 + 2a) = 4(a + -1) (-4 * 3 + 2a * 3) = 4(a + -1) (-12 + 6a) = 4(a + -1) Reorder the terms: -12 + 6a = 4(-1 + a) -12 + 6a = (-1 * 4 + a * 4) -12 + 6a = (-4 + 4a) Solving -12 + 6a = -4 + 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. -12 + 6a + -4a = -4 + 4a + -4a Combine like terms: 6a + -4a = 2a -12 + 2a = -4 + 4a + -4a Combine like terms: 4a + -4a = 0 -12 + 2a = -4 + 0 -12 + 2a = -4 Add '12' to each side of the equation. -12 + 12 + 2a = -4 + 12 Combine like terms: -12 + 12 = 0 0 + 2a = -4 + 12 2a = -4 + 12 Combine like terms: -4 + 12 = 8 2a = 8 Divide each side by '2'. a = 4 Simplifying a = 4
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