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Simplifying 21a + 3(a + -4) = 12a Reorder the terms: 21a + 3(-4 + a) = 12a 21a + (-4 * 3 + a * 3) = 12a 21a + (-12 + 3a) = 12a Reorder the terms: -12 + 21a + 3a = 12a Combine like terms: 21a + 3a = 24a -12 + 24a = 12a Solving -12 + 24a = 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. -12 + 24a + -12a = 12a + -12a Combine like terms: 24a + -12a = 12a -12 + 12a = 12a + -12a Combine like terms: 12a + -12a = 0 -12 + 12a = 0 Add '12' to each side of the equation. -12 + 12 + 12a = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 12a = 0 + 12 12a = 0 + 12 Combine like terms: 0 + 12 = 12 12a = 12 Divide each side by '12'. a = 1 Simplifying a = 1
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