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Simplifying 3(2a + -4) = 5(a + -2) + -2 Reorder the terms: 3(-4 + 2a) = 5(a + -2) + -2 (-4 * 3 + 2a * 3) = 5(a + -2) + -2 (-12 + 6a) = 5(a + -2) + -2 Reorder the terms: -12 + 6a = 5(-2 + a) + -2 -12 + 6a = (-2 * 5 + a * 5) + -2 -12 + 6a = (-10 + 5a) + -2 Reorder the terms: -12 + 6a = -10 + -2 + 5a Combine like terms: -10 + -2 = -12 -12 + 6a = -12 + 5a Add '12' to each side of the equation. -12 + 12 + 6a = -12 + 12 + 5a Combine like terms: -12 + 12 = 0 0 + 6a = -12 + 12 + 5a 6a = -12 + 12 + 5a Combine like terms: -12 + 12 = 0 6a = 0 + 5a 6a = 5a Solving 6a = 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 6a + -5a = 5a + -5a Combine like terms: 6a + -5a = 1a 1a = 5a + -5a Combine like terms: 5a + -5a = 0 1a = 0 Divide each side by '1'. a = 0 Simplifying a = 0
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