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Simplifying 14 + -2(3a + 1) = 6(4 + a) Reorder the terms: 14 + -2(1 + 3a) = 6(4 + a) 14 + (1 * -2 + 3a * -2) = 6(4 + a) 14 + (-2 + -6a) = 6(4 + a) Combine like terms: 14 + -2 = 12 12 + -6a = 6(4 + a) 12 + -6a = (4 * 6 + a * 6) 12 + -6a = (24 + 6a) Solving 12 + -6a = 24 + 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. 12 + -6a + -6a = 24 + 6a + -6a Combine like terms: -6a + -6a = -12a 12 + -12a = 24 + 6a + -6a Combine like terms: 6a + -6a = 0 12 + -12a = 24 + 0 12 + -12a = 24 Add '-12' to each side of the equation. 12 + -12 + -12a = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -12a = 24 + -12 -12a = 24 + -12 Combine like terms: 24 + -12 = 12 -12a = 12 Divide each side by '-12'. a = -1 Simplifying a = -1
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