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Simplifying 4(a + 2) = 14 + -2(3 * 2a) Reorder the terms: 4(2 + a) = 14 + -2(3 * 2a) (2 * 4 + a * 4) = 14 + -2(3 * 2a) (8 + 4a) = 14 + -2(3 * 2a) Multiply 3 * 2 8 + 4a = 14 + -2(6a) Remove parenthesis around (6a) 8 + 4a = 14 + -2 * 6a Multiply -2 * 6 8 + 4a = 14 + -12a Solving 8 + 4a = 14 + -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. 8 + 4a + 12a = 14 + -12a + 12a Combine like terms: 4a + 12a = 16a 8 + 16a = 14 + -12a + 12a Combine like terms: -12a + 12a = 0 8 + 16a = 14 + 0 8 + 16a = 14 Add '-8' to each side of the equation. 8 + -8 + 16a = 14 + -8 Combine like terms: 8 + -8 = 0 0 + 16a = 14 + -8 16a = 14 + -8 Combine like terms: 14 + -8 = 6 16a = 6 Divide each side by '16'. a = 0.375 Simplifying a = 0.375
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