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Simplifying 3(2a + -4) + -4(2a + -6) = 72 Reorder the terms: 3(-4 + 2a) + -4(2a + -6) = 72 (-4 * 3 + 2a * 3) + -4(2a + -6) = 72 (-12 + 6a) + -4(2a + -6) = 72 Reorder the terms: -12 + 6a + -4(-6 + 2a) = 72 -12 + 6a + (-6 * -4 + 2a * -4) = 72 -12 + 6a + (24 + -8a) = 72 Reorder the terms: -12 + 24 + 6a + -8a = 72 Combine like terms: -12 + 24 = 12 12 + 6a + -8a = 72 Combine like terms: 6a + -8a = -2a 12 + -2a = 72 Solving 12 + -2a = 72 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -2a = 72 + -12 Combine like terms: 12 + -12 = 0 0 + -2a = 72 + -12 -2a = 72 + -12 Combine like terms: 72 + -12 = 60 -2a = 60 Divide each side by '-2'. a = -30 Simplifying a = -30
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