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Simplifying 27a + 8b + 3 + -10b + -5a + -2b = 0 Reorder the terms: 3 + 27a + -5a + 8b + -10b + -2b = 0 Combine like terms: 27a + -5a = 22a 3 + 22a + 8b + -10b + -2b = 0 Combine like terms: 8b + -10b = -2b 3 + 22a + -2b + -2b = 0 Combine like terms: -2b + -2b = -4b 3 + 22a + -4b = 0 Solving 3 + 22a + -4b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 22a + -3 + -4b = 0 + -3 Reorder the terms: 3 + -3 + 22a + -4b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 22a + -4b = 0 + -3 22a + -4b = 0 + -3 Combine like terms: 0 + -3 = -3 22a + -4b = -3 Add '4b' to each side of the equation. 22a + -4b + 4b = -3 + 4b Combine like terms: -4b + 4b = 0 22a + 0 = -3 + 4b 22a = -3 + 4b Divide each side by '22'. a = -0.1363636364 + 0.1818181818b Simplifying a = -0.1363636364 + 0.1818181818b
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