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Simplifying 3[4 + -2(9 + -2)] = 3(2 + -4a) Combine like terms: 9 + -2 = 7 3[4 + -2(7)] = 3(2 + -4a) Multiply -2 * 7 3[4 + -14] = 3(2 + -4a) Combine like terms: 4 + -14 = -10 3[-10] = 3(2 + -4a) Multiply 3 * -10 -30 = 3(2 + -4a) -30 = (2 * 3 + -4a * 3) -30 = (6 + -12a) Solving -30 = 6 + -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. -30 + 12a = 6 + -12a + 12a Combine like terms: -12a + 12a = 0 -30 + 12a = 6 + 0 -30 + 12a = 6 Add '30' to each side of the equation. -30 + 30 + 12a = 6 + 30 Combine like terms: -30 + 30 = 0 0 + 12a = 6 + 30 12a = 6 + 30 Combine like terms: 6 + 30 = 36 12a = 36 Divide each side by '12'. a = 3 Simplifying a = 3
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