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Simplifying x(a + -10) + y(7 + b) = 0 Reorder the terms: x(-10 + a) + y(7 + b) = 0 (-10 * x + a * x) + y(7 + b) = 0 Reorder the terms: (ax + -10x) + y(7 + b) = 0 (ax + -10x) + y(7 + b) = 0 ax + -10x + (7 * y + b * y) = 0 Reorder the terms: ax + -10x + (by + 7y) = 0 ax + -10x + (by + 7y) = 0 Reorder the terms: ax + by + -10x + 7y = 0 Solving ax + by + -10x + 7y = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1by' to each side of the equation. ax + by + -10x + -1by + 7y = 0 + -1by Reorder the terms: ax + by + -1by + -10x + 7y = 0 + -1by Combine like terms: by + -1by = 0 ax + 0 + -10x + 7y = 0 + -1by ax + -10x + 7y = 0 + -1by Remove the zero: ax + -10x + 7y = -1by Add '10x' to each side of the equation. ax + -10x + 10x + 7y = -1by + 10x Combine like terms: -10x + 10x = 0 ax + 0 + 7y = -1by + 10x ax + 7y = -1by + 10x Add '-7y' to each side of the equation. ax + 7y + -7y = -1by + 10x + -7y Combine like terms: 7y + -7y = 0 ax + 0 = -1by + 10x + -7y ax = -1by + 10x + -7y Divide each side by 'x'. a = -1bx-1y + 10 + -7x-1y Simplifying a = -1bx-1y + 10 + -7x-1y Reorder the terms: a = 10 + -1bx-1y + -7x-1y
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