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Simplifying 14 + 2(3a + -1) = 3(a + -8) + 66 Reorder the terms: 14 + 2(-1 + 3a) = 3(a + -8) + 66 14 + (-1 * 2 + 3a * 2) = 3(a + -8) + 66 14 + (-2 + 6a) = 3(a + -8) + 66 Combine like terms: 14 + -2 = 12 12 + 6a = 3(a + -8) + 66 Reorder the terms: 12 + 6a = 3(-8 + a) + 66 12 + 6a = (-8 * 3 + a * 3) + 66 12 + 6a = (-24 + 3a) + 66 Reorder the terms: 12 + 6a = -24 + 66 + 3a Combine like terms: -24 + 66 = 42 12 + 6a = 42 + 3a Solving 12 + 6a = 42 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 12 + 6a + -3a = 42 + 3a + -3a Combine like terms: 6a + -3a = 3a 12 + 3a = 42 + 3a + -3a Combine like terms: 3a + -3a = 0 12 + 3a = 42 + 0 12 + 3a = 42 Add '-12' to each side of the equation. 12 + -12 + 3a = 42 + -12 Combine like terms: 12 + -12 = 0 0 + 3a = 42 + -12 3a = 42 + -12 Combine like terms: 42 + -12 = 30 3a = 30 Divide each side by '3'. a = 10 Simplifying a = 10
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