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Simplifying 2(4a + -3) + -1(2a + 5) = 10 Reorder the terms: 2(-3 + 4a) + -1(2a + 5) = 10 (-3 * 2 + 4a * 2) + -1(2a + 5) = 10 (-6 + 8a) + -1(2a + 5) = 10 Reorder the terms: -6 + 8a + -1(5 + 2a) = 10 -6 + 8a + (5 * -1 + 2a * -1) = 10 -6 + 8a + (-5 + -2a) = 10 Reorder the terms: -6 + -5 + 8a + -2a = 10 Combine like terms: -6 + -5 = -11 -11 + 8a + -2a = 10 Combine like terms: 8a + -2a = 6a -11 + 6a = 10 Solving -11 + 6a = 10 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 + 6a = 10 + 11 Combine like terms: -11 + 11 = 0 0 + 6a = 10 + 11 6a = 10 + 11 Combine like terms: 10 + 11 = 21 6a = 21 Divide each side by '6'. a = 3.5 Simplifying a = 3.5
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