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Simplifying 2(5a + -12) = -6(2a + -3) + 2 Reorder the terms: 2(-12 + 5a) = -6(2a + -3) + 2 (-12 * 2 + 5a * 2) = -6(2a + -3) + 2 (-24 + 10a) = -6(2a + -3) + 2 Reorder the terms: -24 + 10a = -6(-3 + 2a) + 2 -24 + 10a = (-3 * -6 + 2a * -6) + 2 -24 + 10a = (18 + -12a) + 2 Reorder the terms: -24 + 10a = 18 + 2 + -12a Combine like terms: 18 + 2 = 20 -24 + 10a = 20 + -12a Solving -24 + 10a = 20 + -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. -24 + 10a + 12a = 20 + -12a + 12a Combine like terms: 10a + 12a = 22a -24 + 22a = 20 + -12a + 12a Combine like terms: -12a + 12a = 0 -24 + 22a = 20 + 0 -24 + 22a = 20 Add '24' to each side of the equation. -24 + 24 + 22a = 20 + 24 Combine like terms: -24 + 24 = 0 0 + 22a = 20 + 24 22a = 20 + 24 Combine like terms: 20 + 24 = 44 22a = 44 Divide each side by '22'. a = 2 Simplifying a = 2
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