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