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Simplifying 14a + -2 = 4(3a + 4) Reorder the terms: -2 + 14a = 4(3a + 4) Reorder the terms: -2 + 14a = 4(4 + 3a) -2 + 14a = (4 * 4 + 3a * 4) -2 + 14a = (16 + 12a) Solving -2 + 14a = 16 + 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. -2 + 14a + -12a = 16 + 12a + -12a Combine like terms: 14a + -12a = 2a -2 + 2a = 16 + 12a + -12a Combine like terms: 12a + -12a = 0 -2 + 2a = 16 + 0 -2 + 2a = 16 Add '2' to each side of the equation. -2 + 2 + 2a = 16 + 2 Combine like terms: -2 + 2 = 0 0 + 2a = 16 + 2 2a = 16 + 2 Combine like terms: 16 + 2 = 18 2a = 18 Divide each side by '2'. a = 9 Simplifying a = 9
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