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Simplifying 2(a + -4) = -3(2a + 4) Reorder the terms: 2(-4 + a) = -3(2a + 4) (-4 * 2 + a * 2) = -3(2a + 4) (-8 + 2a) = -3(2a + 4) Reorder the terms: -8 + 2a = -3(4 + 2a) -8 + 2a = (4 * -3 + 2a * -3) -8 + 2a = (-12 + -6a) Solving -8 + 2a = -12 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. -8 + 2a + 6a = -12 + -6a + 6a Combine like terms: 2a + 6a = 8a -8 + 8a = -12 + -6a + 6a Combine like terms: -6a + 6a = 0 -8 + 8a = -12 + 0 -8 + 8a = -12 Add '8' to each side of the equation. -8 + 8 + 8a = -12 + 8 Combine like terms: -8 + 8 = 0 0 + 8a = -12 + 8 8a = -12 + 8 Combine like terms: -12 + 8 = -4 8a = -4 Divide each side by '8'. a = -0.5 Simplifying a = -0.5
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