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Simplifying 3(2a + -5) + 4(a + -6) = -11 Reorder the terms: 3(-5 + 2a) + 4(a + -6) = -11 (-5 * 3 + 2a * 3) + 4(a + -6) = -11 (-15 + 6a) + 4(a + -6) = -11 Reorder the terms: -15 + 6a + 4(-6 + a) = -11 -15 + 6a + (-6 * 4 + a * 4) = -11 -15 + 6a + (-24 + 4a) = -11 Reorder the terms: -15 + -24 + 6a + 4a = -11 Combine like terms: -15 + -24 = -39 -39 + 6a + 4a = -11 Combine like terms: 6a + 4a = 10a -39 + 10a = -11 Solving -39 + 10a = -11 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + 10a = -11 + 39 Combine like terms: -39 + 39 = 0 0 + 10a = -11 + 39 10a = -11 + 39 Combine like terms: -11 + 39 = 28 10a = 28 Divide each side by '10'. a = 2.8 Simplifying a = 2.8
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