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Simplifying 6(2a + -3) + -7(5a + -4) = -3 Reorder the terms: 6(-3 + 2a) + -7(5a + -4) = -3 (-3 * 6 + 2a * 6) + -7(5a + -4) = -3 (-18 + 12a) + -7(5a + -4) = -3 Reorder the terms: -18 + 12a + -7(-4 + 5a) = -3 -18 + 12a + (-4 * -7 + 5a * -7) = -3 -18 + 12a + (28 + -35a) = -3 Reorder the terms: -18 + 28 + 12a + -35a = -3 Combine like terms: -18 + 28 = 10 10 + 12a + -35a = -3 Combine like terms: 12a + -35a = -23a 10 + -23a = -3 Solving 10 + -23a = -3 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -23a = -3 + -10 Combine like terms: 10 + -10 = 0 0 + -23a = -3 + -10 -23a = -3 + -10 Combine like terms: -3 + -10 = -13 -23a = -13 Divide each side by '-23'. a = 0.5652173913 Simplifying a = 0.5652173913
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