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Simplifying -3[2a + 7] = 3a + 12 Reorder the terms: -3[7 + 2a] = 3a + 12 [7 * -3 + 2a * -3] = 3a + 12 [-21 + -6a] = 3a + 12 Reorder the terms: -21 + -6a = 12 + 3a Solving -21 + -6a = 12 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -21 + -6a + -3a = 12 + 3a + -3a Combine like terms: -6a + -3a = -9a -21 + -9a = 12 + 3a + -3a Combine like terms: 3a + -3a = 0 -21 + -9a = 12 + 0 -21 + -9a = 12 Add '21' to each side of the equation. -21 + 21 + -9a = 12 + 21 Combine like terms: -21 + 21 = 0 0 + -9a = 12 + 21 -9a = 12 + 21 Combine like terms: 12 + 21 = 33 -9a = 33 Divide each side by '-9'. a = -3.666666667 Simplifying a = -3.666666667
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