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Simplifying 4(3 + a) + -1(7 + -6a) = 65 (3 * 4 + a * 4) + -1(7 + -6a) = 65 (12 + 4a) + -1(7 + -6a) = 65 12 + 4a + (7 * -1 + -6a * -1) = 65 12 + 4a + (-7 + 6a) = 65 Reorder the terms: 12 + -7 + 4a + 6a = 65 Combine like terms: 12 + -7 = 5 5 + 4a + 6a = 65 Combine like terms: 4a + 6a = 10a 5 + 10a = 65 Solving 5 + 10a = 65 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 10a = 65 + -5 Combine like terms: 5 + -5 = 0 0 + 10a = 65 + -5 10a = 65 + -5 Combine like terms: 65 + -5 = 60 10a = 60 Divide each side by '10'. a = 6 Simplifying a = 6
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