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Simplifying 11(2a + -3b) + -2(a + 5) = 0 (2a * 11 + -3b * 11) + -2(a + 5) = 0 (22a + -33b) + -2(a + 5) = 0 Reorder the terms: 22a + -33b + -2(5 + a) = 0 22a + -33b + (5 * -2 + a * -2) = 0 22a + -33b + (-10 + -2a) = 0 Reorder the terms: -10 + 22a + -2a + -33b = 0 Combine like terms: 22a + -2a = 20a -10 + 20a + -33b = 0 Solving -10 + 20a + -33b = 0 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 + 20a + 10 + -33b = 0 + 10 Reorder the terms: -10 + 10 + 20a + -33b = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 20a + -33b = 0 + 10 20a + -33b = 0 + 10 Combine like terms: 0 + 10 = 10 20a + -33b = 10 Add '33b' to each side of the equation. 20a + -33b + 33b = 10 + 33b Combine like terms: -33b + 33b = 0 20a + 0 = 10 + 33b 20a = 10 + 33b Divide each side by '20'. a = 0.5 + 1.65b Simplifying a = 0.5 + 1.65b
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