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Simplifying 7a(x + 2y) + -1b(x + 2y) = 0 (x * 7a + 2y * 7a) + -1b(x + 2y) = 0 (7ax + 14ay) + -1b(x + 2y) = 0 7ax + 14ay + (x * -1b + 2y * -1b) = 0 7ax + 14ay + (-1bx + -2by) = 0 Solving 7ax + 14ay + -1bx + -2by = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'bx' to each side of the equation. 7ax + 14ay + -1bx + bx + -2by = 0 + bx Combine like terms: -1bx + bx = 0 7ax + 14ay + 0 + -2by = 0 + bx 7ax + 14ay + -2by = 0 + bx Remove the zero: 7ax + 14ay + -2by = bx Add '2by' to each side of the equation. 7ax + 14ay + -2by + 2by = bx + 2by Combine like terms: -2by + 2by = 0 7ax + 14ay + 0 = bx + 2by 7ax + 14ay = bx + 2by Reorder the terms: 7ax + 14ay + -1bx + -2by = bx + -1bx + 2by + -2by Combine like terms: bx + -1bx = 0 7ax + 14ay + -1bx + -2by = 0 + 2by + -2by 7ax + 14ay + -1bx + -2by = 2by + -2by Combine like terms: 2by + -2by = 0 7ax + 14ay + -1bx + -2by = 0 The solution to this equation could not be determined.
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