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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 = 3a -21 + 3a = 12 + 3a + -3a Combine like terms: 3a + -3a = 0 -21 + 3a = 12 + 0 -21 + 3a = 12 Add '21' to each side of the equation. -21 + 21 + 3a = 12 + 21 Combine like terms: -21 + 21 = 0 0 + 3a = 12 + 21 3a = 12 + 21 Combine like terms: 12 + 21 = 33 3a = 33 Divide each side by '3'. a = 11 Simplifying a = 11
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