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Simplifying 2(a + -5) + -4(2a + 3) = 12 Reorder the terms: 2(-5 + a) + -4(2a + 3) = 12 (-5 * 2 + a * 2) + -4(2a + 3) = 12 (-10 + 2a) + -4(2a + 3) = 12 Reorder the terms: -10 + 2a + -4(3 + 2a) = 12 -10 + 2a + (3 * -4 + 2a * -4) = 12 -10 + 2a + (-12 + -8a) = 12 Reorder the terms: -10 + -12 + 2a + -8a = 12 Combine like terms: -10 + -12 = -22 -22 + 2a + -8a = 12 Combine like terms: 2a + -8a = -6a -22 + -6a = 12 Solving -22 + -6a = 12 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -6a = 12 + 22 Combine like terms: -22 + 22 = 0 0 + -6a = 12 + 22 -6a = 12 + 22 Combine like terms: 12 + 22 = 34 -6a = 34 Divide each side by '-6'. a = -5.666666667 Simplifying a = -5.666666667
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