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Simplifying 12a + 6a + 8 + 6a + 8 + 10a + -4 = 102 Reorder the terms: 8 + 8 + -4 + 12a + 6a + 6a + 10a = 102 Combine like terms: 8 + 8 = 16 16 + -4 + 12a + 6a + 6a + 10a = 102 Combine like terms: 16 + -4 = 12 12 + 12a + 6a + 6a + 10a = 102 Combine like terms: 12a + 6a = 18a 12 + 18a + 6a + 10a = 102 Combine like terms: 18a + 6a = 24a 12 + 24a + 10a = 102 Combine like terms: 24a + 10a = 34a 12 + 34a = 102 Solving 12 + 34a = 102 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 34a = 102 + -12 Combine like terms: 12 + -12 = 0 0 + 34a = 102 + -12 34a = 102 + -12 Combine like terms: 102 + -12 = 90 34a = 90 Divide each side by '34'. a = 2.647058824 Simplifying a = 2.647058824
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