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Simplifying 11(a + -1b) + -2(a + -1b) + -1(a + -1b) + 10(a + -1b) = 0 (a * 11 + -1b * 11) + -2(a + -1b) + -1(a + -1b) + 10(a + -1b) = 0 (11a + -11b) + -2(a + -1b) + -1(a + -1b) + 10(a + -1b) = 0 11a + -11b + (a * -2 + -1b * -2) + -1(a + -1b) + 10(a + -1b) = 0 11a + -11b + (-2a + 2b) + -1(a + -1b) + 10(a + -1b) = 0 11a + -11b + -2a + 2b + (a * -1 + -1b * -1) + 10(a + -1b) = 0 11a + -11b + -2a + 2b + (-1a + 1b) + 10(a + -1b) = 0 11a + -11b + -2a + 2b + -1a + 1b + (a * 10 + -1b * 10) = 0 11a + -11b + -2a + 2b + -1a + 1b + (10a + -10b) = 0 Reorder the terms: 11a + -2a + -1a + 10a + -11b + 2b + 1b + -10b = 0 Combine like terms: 11a + -2a = 9a 9a + -1a + 10a + -11b + 2b + 1b + -10b = 0 Combine like terms: 9a + -1a = 8a 8a + 10a + -11b + 2b + 1b + -10b = 0 Combine like terms: 8a + 10a = 18a 18a + -11b + 2b + 1b + -10b = 0 Combine like terms: -11b + 2b = -9b 18a + -9b + 1b + -10b = 0 Combine like terms: -9b + 1b = -8b 18a + -8b + -10b = 0 Combine like terms: -8b + -10b = -18b 18a + -18b = 0 Solving 18a + -18b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '18b' to each side of the equation. 18a + -18b + 18b = 0 + 18b Combine like terms: -18b + 18b = 0 18a + 0 = 0 + 18b 18a = 0 + 18b Remove the zero: 18a = 18b Divide each side by '18'. a = b Simplifying a = b
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