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Simplifying 8(3a + -5) + -4(2a + 3) = 12 Reorder the terms: 8(-5 + 3a) + -4(2a + 3) = 12 (-5 * 8 + 3a * 8) + -4(2a + 3) = 12 (-40 + 24a) + -4(2a + 3) = 12 Reorder the terms: -40 + 24a + -4(3 + 2a) = 12 -40 + 24a + (3 * -4 + 2a * -4) = 12 -40 + 24a + (-12 + -8a) = 12 Reorder the terms: -40 + -12 + 24a + -8a = 12 Combine like terms: -40 + -12 = -52 -52 + 24a + -8a = 12 Combine like terms: 24a + -8a = 16a -52 + 16a = 12 Solving -52 + 16a = 12 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + 16a = 12 + 52 Combine like terms: -52 + 52 = 0 0 + 16a = 12 + 52 16a = 12 + 52 Combine like terms: 12 + 52 = 64 16a = 64 Divide each side by '16'. a = 4 Simplifying a = 4
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