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Simplifying 3 + -1[2a + 7] = 3a + 12 Reorder the terms: 3 + -1[7 + 2a] = 3a + 12 3 + [7 * -1 + 2a * -1] = 3a + 12 3 + [-7 + -2a] = 3a + 12 Combine like terms: 3 + -7 = -4 -4 + -2a = 3a + 12 Reorder the terms: -4 + -2a = 12 + 3a Solving -4 + -2a = 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. -4 + -2a + -3a = 12 + 3a + -3a Combine like terms: -2a + -3a = -5a -4 + -5a = 12 + 3a + -3a Combine like terms: 3a + -3a = 0 -4 + -5a = 12 + 0 -4 + -5a = 12 Add '4' to each side of the equation. -4 + 4 + -5a = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -5a = 12 + 4 -5a = 12 + 4 Combine like terms: 12 + 4 = 16 -5a = 16 Divide each side by '-5'. a = -3.2 Simplifying a = -3.2
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