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Simplifying 12(a + -4) = 6(a + 2) Reorder the terms: 12(-4 + a) = 6(a + 2) (-4 * 12 + a * 12) = 6(a + 2) (-48 + 12a) = 6(a + 2) Reorder the terms: -48 + 12a = 6(2 + a) -48 + 12a = (2 * 6 + a * 6) -48 + 12a = (12 + 6a) Solving -48 + 12a = 12 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -48 + 12a + -6a = 12 + 6a + -6a Combine like terms: 12a + -6a = 6a -48 + 6a = 12 + 6a + -6a Combine like terms: 6a + -6a = 0 -48 + 6a = 12 + 0 -48 + 6a = 12 Add '48' to each side of the equation. -48 + 48 + 6a = 12 + 48 Combine like terms: -48 + 48 = 0 0 + 6a = 12 + 48 6a = 12 + 48 Combine like terms: 12 + 48 = 60 6a = 60 Divide each side by '6'. a = 10 Simplifying a = 10
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