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Simplifying 5(-1 + 2a) + 4(4 + 6a) = 6 (-1 * 5 + 2a * 5) + 4(4 + 6a) = 6 (-5 + 10a) + 4(4 + 6a) = 6 -5 + 10a + (4 * 4 + 6a * 4) = 6 -5 + 10a + (16 + 24a) = 6 Reorder the terms: -5 + 16 + 10a + 24a = 6 Combine like terms: -5 + 16 = 11 11 + 10a + 24a = 6 Combine like terms: 10a + 24a = 34a 11 + 34a = 6 Solving 11 + 34a = 6 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 34a = 6 + -11 Combine like terms: 11 + -11 = 0 0 + 34a = 6 + -11 34a = 6 + -11 Combine like terms: 6 + -11 = -5 34a = -5 Divide each side by '34'. a = -0.1470588235 Simplifying a = -0.1470588235
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