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Simplifying -1(9 + 11a) + 2(6a + 11) = 1 + -10a + 12a (9 * -1 + 11a * -1) + 2(6a + 11) = 1 + -10a + 12a (-9 + -11a) + 2(6a + 11) = 1 + -10a + 12a Reorder the terms: -9 + -11a + 2(11 + 6a) = 1 + -10a + 12a -9 + -11a + (11 * 2 + 6a * 2) = 1 + -10a + 12a -9 + -11a + (22 + 12a) = 1 + -10a + 12a Reorder the terms: -9 + 22 + -11a + 12a = 1 + -10a + 12a Combine like terms: -9 + 22 = 13 13 + -11a + 12a = 1 + -10a + 12a Combine like terms: -11a + 12a = 1a 13 + 1a = 1 + -10a + 12a Combine like terms: -10a + 12a = 2a 13 + 1a = 1 + 2a Solving 13 + 1a = 1 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 13 + 1a + -2a = 1 + 2a + -2a Combine like terms: 1a + -2a = -1a 13 + -1a = 1 + 2a + -2a Combine like terms: 2a + -2a = 0 13 + -1a = 1 + 0 13 + -1a = 1 Add '-13' to each side of the equation. 13 + -13 + -1a = 1 + -13 Combine like terms: 13 + -13 = 0 0 + -1a = 1 + -13 -1a = 1 + -13 Combine like terms: 1 + -13 = -12 -1a = -12 Divide each side by '-1'. a = 12 Simplifying a = 12
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