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Simplifying 3(2a + -1) = 12a + 21 Reorder the terms: 3(-1 + 2a) = 12a + 21 (-1 * 3 + 2a * 3) = 12a + 21 (-3 + 6a) = 12a + 21 Reorder the terms: -3 + 6a = 21 + 12a Solving -3 + 6a = 21 + 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. -3 + 6a + -12a = 21 + 12a + -12a Combine like terms: 6a + -12a = -6a -3 + -6a = 21 + 12a + -12a Combine like terms: 12a + -12a = 0 -3 + -6a = 21 + 0 -3 + -6a = 21 Add '3' to each side of the equation. -3 + 3 + -6a = 21 + 3 Combine like terms: -3 + 3 = 0 0 + -6a = 21 + 3 -6a = 21 + 3 Combine like terms: 21 + 3 = 24 -6a = 24 Divide each side by '-6'. a = -4 Simplifying a = -4
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