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Simplifying -6(11 + -10a) = 11(4 + 5a) (11 * -6 + -10a * -6) = 11(4 + 5a) (-66 + 60a) = 11(4 + 5a) -66 + 60a = (4 * 11 + 5a * 11) -66 + 60a = (44 + 55a) Solving -66 + 60a = 44 + 55a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-55a' to each side of the equation. -66 + 60a + -55a = 44 + 55a + -55a Combine like terms: 60a + -55a = 5a -66 + 5a = 44 + 55a + -55a Combine like terms: 55a + -55a = 0 -66 + 5a = 44 + 0 -66 + 5a = 44 Add '66' to each side of the equation. -66 + 66 + 5a = 44 + 66 Combine like terms: -66 + 66 = 0 0 + 5a = 44 + 66 5a = 44 + 66 Combine like terms: 44 + 66 = 110 5a = 110 Divide each side by '5'. a = 22 Simplifying a = 22
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