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Simplifying 14 + -3(a + -2) = 2(3a + -2) Reorder the terms: 14 + -3(-2 + a) = 2(3a + -2) 14 + (-2 * -3 + a * -3) = 2(3a + -2) 14 + (6 + -3a) = 2(3a + -2) Combine like terms: 14 + 6 = 20 20 + -3a = 2(3a + -2) Reorder the terms: 20 + -3a = 2(-2 + 3a) 20 + -3a = (-2 * 2 + 3a * 2) 20 + -3a = (-4 + 6a) Solving 20 + -3a = -4 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 20 + -3a + -6a = -4 + 6a + -6a Combine like terms: -3a + -6a = -9a 20 + -9a = -4 + 6a + -6a Combine like terms: 6a + -6a = 0 20 + -9a = -4 + 0 20 + -9a = -4 Add '-20' to each side of the equation. 20 + -20 + -9a = -4 + -20 Combine like terms: 20 + -20 = 0 0 + -9a = -4 + -20 -9a = -4 + -20 Combine like terms: -4 + -20 = -24 -9a = -24 Divide each side by '-9'. a = 2.666666667 Simplifying a = 2.666666667
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