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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 = -4a -8 + -4a = 12 + 6a + -6a Combine like terms: 6a + -6a = 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 = 20 -4a = 20 Divide each side by '-4'. a = -5 Simplifying a = -5
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