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Simplifying 6(3a + -2) + 5a = 67 Reorder the terms: 6(-2 + 3a) + 5a = 67 (-2 * 6 + 3a * 6) + 5a = 67 (-12 + 18a) + 5a = 67 Combine like terms: 18a + 5a = 23a -12 + 23a = 67 Solving -12 + 23a = 67 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 + 23a = 67 + 12 Combine like terms: -12 + 12 = 0 0 + 23a = 67 + 12 23a = 67 + 12 Combine like terms: 67 + 12 = 79 23a = 79 Divide each side by '23'. a = 3.434782609 Simplifying a = 3.434782609
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