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Simplifying -7(a + -5) + 6(8 + -6a) = 3 Reorder the terms: -7(-5 + a) + 6(8 + -6a) = 3 (-5 * -7 + a * -7) + 6(8 + -6a) = 3 (35 + -7a) + 6(8 + -6a) = 3 35 + -7a + (8 * 6 + -6a * 6) = 3 35 + -7a + (48 + -36a) = 3 Reorder the terms: 35 + 48 + -7a + -36a = 3 Combine like terms: 35 + 48 = 83 83 + -7a + -36a = 3 Combine like terms: -7a + -36a = -43a 83 + -43a = 3 Solving 83 + -43a = 3 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-83' to each side of the equation. 83 + -83 + -43a = 3 + -83 Combine like terms: 83 + -83 = 0 0 + -43a = 3 + -83 -43a = 3 + -83 Combine like terms: 3 + -83 = -80 -43a = -80 Divide each side by '-43'. a = 1.860465116 Simplifying a = 1.860465116
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