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Simplifying -6x + -1(9y + (5x + -1(-2y + -1b)) + -1(2b + a)) = 0 Reorder the terms: -6x + -1(9y + (5x + -1(-1b + -2y)) + -1(2b + a)) = 0 -6x + -1(9y + (5x + (-1b * -1 + -2y * -1)) + -1(2b + a)) = 0 -6x + -1(9y + (5x + (1b + 2y)) + -1(2b + a)) = 0 Reorder the terms: -6x + -1(9y + (1b + 5x + 2y) + -1(2b + a)) = 0 Remove parenthesis around (1b + 5x + 2y) -6x + -1(9y + 1b + 5x + 2y + -1(2b + a)) = 0 Reorder the terms: -6x + -1(9y + 1b + 5x + 2y + -1(a + 2b)) = 0 -6x + -1(9y + 1b + 5x + 2y + (a * -1 + 2b * -1)) = 0 -6x + -1(9y + 1b + 5x + 2y + (-1a + -2b)) = 0 Reorder the terms: -6x + -1(-1a + 1b + -2b + 5x + 9y + 2y) = 0 Combine like terms: 1b + -2b = -1b -6x + -1(-1a + -1b + 5x + 9y + 2y) = 0 Combine like terms: 9y + 2y = 11y -6x + -1(-1a + -1b + 5x + 11y) = 0 -6x + (-1a * -1 + -1b * -1 + 5x * -1 + 11y * -1) = 0 -6x + (1a + 1b + -5x + -11y) = 0 Reorder the terms: 1a + 1b + -6x + -5x + -11y = 0 Combine like terms: -6x + -5x = -11x 1a + 1b + -11x + -11y = 0 Solving 1a + 1b + -11x + -11y = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 1a + 1b + -11x + -1b + -11y = 0 + -1b Reorder the terms: 1a + 1b + -1b + -11x + -11y = 0 + -1b Combine like terms: 1b + -1b = 0 1a + 0 + -11x + -11y = 0 + -1b 1a + -11x + -11y = 0 + -1b Remove the zero: 1a + -11x + -11y = -1b Add '11x' to each side of the equation. 1a + -11x + 11x + -11y = -1b + 11x Combine like terms: -11x + 11x = 0 1a + 0 + -11y = -1b + 11x 1a + -11y = -1b + 11x Add '11y' to each side of the equation. 1a + -11y + 11y = -1b + 11x + 11y Combine like terms: -11y + 11y = 0 1a + 0 = -1b + 11x + 11y 1a = -1b + 11x + 11y Divide each side by '1'. a = -1b + 11x + 11y Simplifying a = -1b + 11x + 11y
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